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Finding the Third Proportional to 147,632 and 309,298

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Solution

The third proportional to 147,632 and 309,298 is: 647,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,632 : 309,298 = 309,298 : x
  2. Step 2: Convert to fraction form
    147,632/309,298 = 309,298/x
  3. Step 3: Cross multiply
    147,632x = 309,298 × 309,298
  4. Step 4: Simplify right side
    147,632x = 95,665,252,804
  5. Step 5: Solve for x
    x = 95,665,252,804/147,632
  6. Step 6: Final answer
    x = 647,998.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.