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Finding the Third Proportional to 107,744 and 229,312

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Solution

The third proportional to 107,744 and 229,312 is: 488,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,744 : 229,312 = 229,312 : x
  2. Step 2: Convert to fraction form
    107,744/229,312 = 229,312/x
  3. Step 3: Cross multiply
    107,744x = 229,312 × 229,312
  4. Step 4: Simplify right side
    107,744x = 52,583,993,344
  5. Step 5: Solve for x
    x = 52,583,993,344/107,744
  6. Step 6: Final answer
    x = 488,045.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.