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Finding the Third Proportional to 161,669 and 349,150

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Solution

The third proportional to 161,669 and 349,150 is: 754,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,669 : 349,150 = 349,150 : x
  2. Step 2: Convert to fraction form
    161,669/349,150 = 349,150/x
  3. Step 3: Cross multiply
    161,669x = 349,150 × 349,150
  4. Step 4: Simplify right side
    161,669x = 121,905,722,500
  5. Step 5: Solve for x
    x = 121,905,722,500/161,669
  6. Step 6: Final answer
    x = 754,045.13

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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.