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Finding the Third Proportional to 235,122.75 and 498,190.50

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Solution

The third proportional to 235,122.75 and 498,190.50 is: 1,055,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,122.75 : 498,190.50 = 498,190.50 : x
  2. Step 2: Convert to fraction form
    235,122.75/498,190.50 = 498,190.50/x
  3. Step 3: Cross multiply
    235,122.75x = 498,190.50 × 498,190.50
  4. Step 4: Simplify right side
    235,122.75x = 248,193,774,290.25
  5. Step 5: Solve for x
    x = 248,193,774,290.25/235,122.75
  6. Step 6: Final answer
    x = 1,055,592.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.