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Finding the Third Proportional to 118,552 and 210,789

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Solution

The third proportional to 118,552 and 210,789 is: 374,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,552 : 210,789 = 210,789 : x
  2. Step 2: Convert to fraction form
    118,552/210,789 = 210,789/x
  3. Step 3: Cross multiply
    118,552x = 210,789 × 210,789
  4. Step 4: Simplify right side
    118,552x = 44,432,002,521
  5. Step 5: Solve for x
    x = 44,432,002,521/118,552
  6. Step 6: Final answer
    x = 374,789.14

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.