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Finding the Third Proportional to 145,690.50 and 225,005.25

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Solution

The third proportional to 145,690.50 and 225,005.25 is: 347,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690.50 : 225,005.25 = 225,005.25 : x
  2. Step 2: Convert to fraction form
    145,690.50/225,005.25 = 225,005.25/x
  3. Step 3: Cross multiply
    145,690.50x = 225,005.25 × 225,005.25
  4. Step 4: Simplify right side
    145,690.50x = 50,627,362,527.56
  5. Step 5: Solve for x
    x = 50,627,362,527.56/145,690.50
  6. Step 6: Final answer
    x = 347,499.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.