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Finding the Third Proportional to 161,597 and 349,006

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Solution

The third proportional to 161,597 and 349,006 is: 753,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,597 : 349,006 = 349,006 : x
  2. Step 2: Convert to fraction form
    161,597/349,006 = 349,006/x
  3. Step 3: Cross multiply
    161,597x = 349,006 × 349,006
  4. Step 4: Simplify right side
    161,597x = 121,805,188,036
  5. Step 5: Solve for x
    x = 121,805,188,036/161,597
  6. Step 6: Final answer
    x = 753,758.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.