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Finding the Third Proportional to 161,742 and 350,972

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Solution

The third proportional to 161,742 and 350,972 is: 761,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,742 : 350,972 = 350,972 : x
  2. Step 2: Convert to fraction form
    161,742/350,972 = 350,972/x
  3. Step 3: Cross multiply
    161,742x = 350,972 × 350,972
  4. Step 4: Simplify right side
    161,742x = 123,181,344,784
  5. Step 5: Solve for x
    x = 123,181,344,784/161,742
  6. Step 6: Final answer
    x = 761,591.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.