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Finding the Third Proportional to 114,932 and 243,684

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Solution

The third proportional to 114,932 and 243,684 is: 516,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932 : 243,684 = 243,684 : x
  2. Step 2: Convert to fraction form
    114,932/243,684 = 243,684/x
  3. Step 3: Cross multiply
    114,932x = 243,684 × 243,684
  4. Step 4: Simplify right side
    114,932x = 59,381,891,856
  5. Step 5: Solve for x
    x = 59,381,891,856/114,932
  6. Step 6: Final answer
    x = 516,669.79

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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.