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Finding the Third Proportional to 114,864 and 243,366

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Solution

The third proportional to 114,864 and 243,366 is: 515,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,864 : 243,366 = 243,366 : x
  2. Step 2: Convert to fraction form
    114,864/243,366 = 243,366/x
  3. Step 3: Cross multiply
    114,864x = 243,366 × 243,366
  4. Step 4: Simplify right side
    114,864x = 59,227,009,956
  5. Step 5: Solve for x
    x = 59,227,009,956/114,864
  6. Step 6: Final answer
    x = 515,627.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.