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Finding the Third Proportional to 140,754 and 218,273

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Solution

The third proportional to 140,754 and 218,273 is: 338,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,754 : 218,273 = 218,273 : x
  2. Step 2: Convert to fraction form
    140,754/218,273 = 218,273/x
  3. Step 3: Cross multiply
    140,754x = 218,273 × 218,273
  4. Step 4: Simplify right side
    140,754x = 47,643,102,529
  5. Step 5: Solve for x
    x = 47,643,102,529/140,754
  6. Step 6: Final answer
    x = 338,484.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.