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Finding the Third Proportional to 101,304 and 216,279

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Solution

The third proportional to 101,304 and 216,279 is: 461,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,304 : 216,279 = 216,279 : x
  2. Step 2: Convert to fraction form
    101,304/216,279 = 216,279/x
  3. Step 3: Cross multiply
    101,304x = 216,279 × 216,279
  4. Step 4: Simplify right side
    101,304x = 46,776,605,841
  5. Step 5: Solve for x
    x = 46,776,605,841/101,304
  6. Step 6: Final answer
    x = 461,744.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.