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Finding the Third Proportional to 125,587.13 and 296,406

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Solution

The third proportional to 125,587.13 and 296,406 is: 699,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,587.13 : 296,406 = 296,406 : x
  2. Step 2: Convert to fraction form
    125,587.13/296,406 = 296,406/x
  3. Step 3: Cross multiply
    125,587.13x = 296,406 × 296,406
  4. Step 4: Simplify right side
    125,587.13x = 87,856,516,836
  5. Step 5: Solve for x
    x = 87,856,516,836/125,587.13
  6. Step 6: Final answer
    x = 699,566.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.