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Finding the Third Proportional to 147,892.50 and 318,681

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Solution

The third proportional to 147,892.50 and 318,681 is: 686,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,892.50 : 318,681 = 318,681 : x
  2. Step 2: Convert to fraction form
    147,892.50/318,681 = 318,681/x
  3. Step 3: Cross multiply
    147,892.50x = 318,681 × 318,681
  4. Step 4: Simplify right side
    147,892.50x = 101,557,579,761
  5. Step 5: Solve for x
    x = 101,557,579,761/147,892.50
  6. Step 6: Final answer
    x = 686,698.65

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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.