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Finding the Third Proportional to 114,982 and 247,447

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Solution

The third proportional to 114,982 and 247,447 is: 532,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,982 : 247,447 = 247,447 : x
  2. Step 2: Convert to fraction form
    114,982/247,447 = 247,447/x
  3. Step 3: Cross multiply
    114,982x = 247,447 × 247,447
  4. Step 4: Simplify right side
    114,982x = 61,230,017,809
  5. Step 5: Solve for x
    x = 61,230,017,809/114,982
  6. Step 6: Final answer
    x = 532,518.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.