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Finding the Third Proportional to 143,577 and 316,098

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Solution

The third proportional to 143,577 and 316,098 is: 695,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,577 : 316,098 = 316,098 : x
  2. Step 2: Convert to fraction form
    143,577/316,098 = 316,098/x
  3. Step 3: Cross multiply
    143,577x = 316,098 × 316,098
  4. Step 4: Simplify right side
    143,577x = 99,917,945,604
  5. Step 5: Solve for x
    x = 99,917,945,604/143,577
  6. Step 6: Final answer
    x = 695,918.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.