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Finding the Third Proportional to 242,102 and 517,144

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Solution

The third proportional to 242,102 and 517,144 is: 1,104,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,102 : 517,144 = 517,144 : x
  2. Step 2: Convert to fraction form
    242,102/517,144 = 517,144/x
  3. Step 3: Cross multiply
    242,102x = 517,144 × 517,144
  4. Step 4: Simplify right side
    242,102x = 267,437,916,736
  5. Step 5: Solve for x
    x = 267,437,916,736/242,102
  6. Step 6: Final answer
    x = 1,104,649.76

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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.