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Finding the Third Proportional to 161,691.38 and 340,142.06

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Solution

The third proportional to 161,691.38 and 340,142.06 is: 715,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,691.38 : 340,142.06 = 340,142.06 : x
  2. Step 2: Convert to fraction form
    161,691.38/340,142.06 = 340,142.06/x
  3. Step 3: Cross multiply
    161,691.38x = 340,142.06 × 340,142.06
  4. Step 4: Simplify right side
    161,691.38x = 115,696,622,681.75
  5. Step 5: Solve for x
    x = 115,696,622,681.75/161,691.38
  6. Step 6: Final answer
    x = 715,539.85

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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.