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Finding the Third Proportional to 132,260 and 293,949

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Solution

The third proportional to 132,260 and 293,949 is: 653,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,260 : 293,949 = 293,949 : x
  2. Step 2: Convert to fraction form
    132,260/293,949 = 293,949/x
  3. Step 3: Cross multiply
    132,260x = 293,949 × 293,949
  4. Step 4: Simplify right side
    132,260x = 86,406,014,601
  5. Step 5: Solve for x
    x = 86,406,014,601/132,260
  6. Step 6: Final answer
    x = 653,304.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.