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Finding the Third Proportional to 169,750 and 373,397

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Solution

The third proportional to 169,750 and 373,397 is: 821,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,750 : 373,397 = 373,397 : x
  2. Step 2: Convert to fraction form
    169,750/373,397 = 373,397/x
  3. Step 3: Cross multiply
    169,750x = 373,397 × 373,397
  4. Step 4: Simplify right side
    169,750x = 139,425,319,609
  5. Step 5: Solve for x
    x = 139,425,319,609/169,750
  6. Step 6: Final answer
    x = 821,356.82

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Why These Related Problems?

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