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Finding the Third Proportional to 114,987 and 247,461

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Solution

The third proportional to 114,987 and 247,461 is: 532,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,987 : 247,461 = 247,461 : x
  2. Step 2: Convert to fraction form
    114,987/247,461 = 247,461/x
  3. Step 3: Cross multiply
    114,987x = 247,461 × 247,461
  4. Step 4: Simplify right side
    114,987x = 61,236,946,521
  5. Step 5: Solve for x
    x = 61,236,946,521/114,987
  6. Step 6: Final answer
    x = 532,555.39

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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.