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Finding the Third Proportional to 132,265 and 293,958

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Solution

The third proportional to 132,265 and 293,958 is: 653,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,265 : 293,958 = 293,958 : x
  2. Step 2: Convert to fraction form
    132,265/293,958 = 293,958/x
  3. Step 3: Cross multiply
    132,265x = 293,958 × 293,958
  4. Step 4: Simplify right side
    132,265x = 86,411,305,764
  5. Step 5: Solve for x
    x = 86,411,305,764/132,265
  6. Step 6: Final answer
    x = 653,319.52

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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.