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Finding the Third Proportional to 135,472.50 and 291,903.75

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Solution

The third proportional to 135,472.50 and 291,903.75 is: 628,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.50 : 291,903.75 = 291,903.75 : x
  2. Step 2: Convert to fraction form
    135,472.50/291,903.75 = 291,903.75/x
  3. Step 3: Cross multiply
    135,472.50x = 291,903.75 × 291,903.75
  4. Step 4: Simplify right side
    135,472.50x = 85,207,799,264.06
  5. Step 5: Solve for x
    x = 85,207,799,264.06/135,472.50
  6. Step 6: Final answer
    x = 628,967.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.