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Finding the Third Proportional to 114,929 and 243,681

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Solution

The third proportional to 114,929 and 243,681 is: 516,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,929 : 243,681 = 243,681 : x
  2. Step 2: Convert to fraction form
    114,929/243,681 = 243,681/x
  3. Step 3: Cross multiply
    114,929x = 243,681 × 243,681
  4. Step 4: Simplify right side
    114,929x = 59,380,429,761
  5. Step 5: Solve for x
    x = 59,380,429,761/114,929
  6. Step 6: Final answer
    x = 516,670.55

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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.