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Finding the Third Proportional to 125,571 and 296,365

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Solution

The third proportional to 125,571 and 296,365 is: 699,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,571 : 296,365 = 296,365 : x
  2. Step 2: Convert to fraction form
    125,571/296,365 = 296,365/x
  3. Step 3: Cross multiply
    125,571x = 296,365 × 296,365
  4. Step 4: Simplify right side
    125,571x = 87,832,213,225
  5. Step 5: Solve for x
    x = 87,832,213,225/125,571
  6. Step 6: Final answer
    x = 699,462.56

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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.