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Finding the Third Proportional to 136,789 and 218,523

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Solution

The third proportional to 136,789 and 218,523 is: 349,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,789 : 218,523 = 218,523 : x
  2. Step 2: Convert to fraction form
    136,789/218,523 = 218,523/x
  3. Step 3: Cross multiply
    136,789x = 218,523 × 218,523
  4. Step 4: Simplify right side
    136,789x = 47,752,301,529
  5. Step 5: Solve for x
    x = 47,752,301,529/136,789
  6. Step 6: Final answer
    x = 349,094.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.