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Finding the Third Proportional to 131,770 and 197,294

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Solution

The third proportional to 131,770 and 197,294 is: 295,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,770 : 197,294 = 197,294 : x
  2. Step 2: Convert to fraction form
    131,770/197,294 = 197,294/x
  3. Step 3: Cross multiply
    131,770x = 197,294 × 197,294
  4. Step 4: Simplify right side
    131,770x = 38,924,922,436
  5. Step 5: Solve for x
    x = 38,924,922,436/131,770
  6. Step 6: Final answer
    x = 295,400.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.