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Finding the Third Proportional to 137,981 and 295,654

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Solution

The third proportional to 137,981 and 295,654 is: 633,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,981 : 295,654 = 295,654 : x
  2. Step 2: Convert to fraction form
    137,981/295,654 = 295,654/x
  3. Step 3: Cross multiply
    137,981x = 295,654 × 295,654
  4. Step 4: Simplify right side
    137,981x = 87,411,287,716
  5. Step 5: Solve for x
    x = 87,411,287,716/137,981
  6. Step 6: Final answer
    x = 633,502.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.