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Finding the Third Proportional to 132,294.09 and 289,920.09

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Solution

The third proportional to 132,294.09 and 289,920.09 is: 635,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294.09 : 289,920.09 = 289,920.09 : x
  2. Step 2: Convert to fraction form
    132,294.09/289,920.09 = 289,920.09/x
  3. Step 3: Cross multiply
    132,294.09x = 289,920.09 × 289,920.09
  4. Step 4: Simplify right side
    132,294.09x = 84,053,660,760.01
  5. Step 5: Solve for x
    x = 84,053,660,760.01/132,294.09
  6. Step 6: Final answer
    x = 635,354.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.