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Finding the Third Proportional to 114,452 and 247,960

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Solution

The third proportional to 114,452 and 247,960 is: 537,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,452 : 247,960 = 247,960 : x
  2. Step 2: Convert to fraction form
    114,452/247,960 = 247,960/x
  3. Step 3: Cross multiply
    114,452x = 247,960 × 247,960
  4. Step 4: Simplify right side
    114,452x = 61,484,161,600
  5. Step 5: Solve for x
    x = 61,484,161,600/114,452
  6. Step 6: Final answer
    x = 537,204.78

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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.