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Finding the Third Proportional to 114,924 and 247,344

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Solution

The third proportional to 114,924 and 247,344 is: 532,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,924 : 247,344 = 247,344 : x
  2. Step 2: Convert to fraction form
    114,924/247,344 = 247,344/x
  3. Step 3: Cross multiply
    114,924x = 247,344 × 247,344
  4. Step 4: Simplify right side
    114,924x = 61,179,054,336
  5. Step 5: Solve for x
    x = 61,179,054,336/114,924
  6. Step 6: Final answer
    x = 532,343.59

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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.