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Finding the Third Proportional to 234,403.50 and 362,729.25

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Solution

The third proportional to 234,403.50 and 362,729.25 is: 561,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,403.50 : 362,729.25 = 362,729.25 : x
  2. Step 2: Convert to fraction form
    234,403.50/362,729.25 = 362,729.25/x
  3. Step 3: Cross multiply
    234,403.50x = 362,729.25 × 362,729.25
  4. Step 4: Simplify right side
    234,403.50x = 131,572,508,805.56
  5. Step 5: Solve for x
    x = 131,572,508,805.56/234,403.50
  6. Step 6: Final answer
    x = 561,307.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.