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Finding the Third Proportional to 132,250.50 and 293,931

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Solution

The third proportional to 132,250.50 and 293,931 is: 653,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,250.50 : 293,931 = 293,931 : x
  2. Step 2: Convert to fraction form
    132,250.50/293,931 = 293,931/x
  3. Step 3: Cross multiply
    132,250.50x = 293,931 × 293,931
  4. Step 4: Simplify right side
    132,250.50x = 86,395,432,761
  5. Step 5: Solve for x
    x = 86,395,432,761/132,250.50
  6. Step 6: Final answer
    x = 653,271.12

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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.