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Finding the Third Proportional to 104,646 and 232,539

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Solution

The third proportional to 104,646 and 232,539 is: 516,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,646 : 232,539 = 232,539 : x
  2. Step 2: Convert to fraction form
    104,646/232,539 = 232,539/x
  3. Step 3: Cross multiply
    104,646x = 232,539 × 232,539
  4. Step 4: Simplify right side
    104,646x = 54,074,386,521
  5. Step 5: Solve for x
    x = 54,074,386,521/104,646
  6. Step 6: Final answer
    x = 516,736.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.