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Finding the Third Proportional to 107,584 and 229,992

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Solution

The third proportional to 107,584 and 229,992 is: 491,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,584 : 229,992 = 229,992 : x
  2. Step 2: Convert to fraction form
    107,584/229,992 = 229,992/x
  3. Step 3: Cross multiply
    107,584x = 229,992 × 229,992
  4. Step 4: Simplify right side
    107,584x = 52,896,320,064
  5. Step 5: Solve for x
    x = 52,896,320,064/107,584
  6. Step 6: Final answer
    x = 491,674.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.