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Finding the Third Proportional to 153,562.50 and 235,233.75

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Solution

The third proportional to 153,562.50 and 235,233.75 is: 360,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,562.50 : 235,233.75 = 235,233.75 : x
  2. Step 2: Convert to fraction form
    153,562.50/235,233.75 = 235,233.75/x
  3. Step 3: Cross multiply
    153,562.50x = 235,233.75 × 235,233.75
  4. Step 4: Simplify right side
    153,562.50x = 55,334,917,139.06
  5. Step 5: Solve for x
    x = 55,334,917,139.06/153,562.50
  6. Step 6: Final answer
    x = 360,341.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.