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Finding the Third Proportional to 125,575 and 296,375

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Solution

The third proportional to 125,575 and 296,375 is: 699,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,575 : 296,375 = 296,375 : x
  2. Step 2: Convert to fraction form
    125,575/296,375 = 296,375/x
  3. Step 3: Cross multiply
    125,575x = 296,375 × 296,375
  4. Step 4: Simplify right side
    125,575x = 87,838,140,625
  5. Step 5: Solve for x
    x = 87,838,140,625/125,575
  6. Step 6: Final answer
    x = 699,487.48

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