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Finding the Third Proportional to 107,724 and 232,656

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Solution

The third proportional to 107,724 and 232,656 is: 502,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,724 : 232,656 = 232,656 : x
  2. Step 2: Convert to fraction form
    107,724/232,656 = 232,656/x
  3. Step 3: Cross multiply
    107,724x = 232,656 × 232,656
  4. Step 4: Simplify right side
    107,724x = 54,128,814,336
  5. Step 5: Solve for x
    x = 54,128,814,336/107,724
  6. Step 6: Final answer
    x = 502,476.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.