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Finding the Third Proportional to 214,789.13 and 324,897.38

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Solution

The third proportional to 214,789.13 and 324,897.38 is: 491,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,789.13 : 324,897.38 = 324,897.38 : x
  2. Step 2: Convert to fraction form
    214,789.13/324,897.38 = 324,897.38/x
  3. Step 3: Cross multiply
    214,789.13x = 324,897.38 × 324,897.38
  4. Step 4: Simplify right side
    214,789.13x = 105,558,304,281.89
  5. Step 5: Solve for x
    x = 105,558,304,281.89/214,789.13
  6. Step 6: Final answer
    x = 491,450.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.