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Finding the Third Proportional to 242,124 and 517,188

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Solution

The third proportional to 242,124 and 517,188 is: 1,104,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,124 : 517,188 = 517,188 : x
  2. Step 2: Convert to fraction form
    242,124/517,188 = 517,188/x
  3. Step 3: Cross multiply
    242,124x = 517,188 × 517,188
  4. Step 4: Simplify right side
    242,124x = 267,483,427,344
  5. Step 5: Solve for x
    x = 267,483,427,344/242,124
  6. Step 6: Final answer
    x = 1,104,737.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.