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Finding the Third Proportional to 132,256.50 and 293,943

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Solution

The third proportional to 132,256.50 and 293,943 is: 653,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,256.50 : 293,943 = 293,943 : x
  2. Step 2: Convert to fraction form
    132,256.50/293,943 = 293,943/x
  3. Step 3: Cross multiply
    132,256.50x = 293,943 × 293,943
  4. Step 4: Simplify right side
    132,256.50x = 86,402,487,249
  5. Step 5: Solve for x
    x = 86,402,487,249/132,256.50
  6. Step 6: Final answer
    x = 653,294.83

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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.