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Finding the Third Proportional to 114,241 and 247,549

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Solution

The third proportional to 114,241 and 247,549 is: 536,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,241 : 247,549 = 247,549 : x
  2. Step 2: Convert to fraction form
    114,241/247,549 = 247,549/x
  3. Step 3: Cross multiply
    114,241x = 247,549 × 247,549
  4. Step 4: Simplify right side
    114,241x = 61,280,507,401
  5. Step 5: Solve for x
    x = 61,280,507,401/114,241
  6. Step 6: Final answer
    x = 536,414.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.