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Finding the Third Proportional to 107,484 and 223,688

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Solution

The third proportional to 107,484 and 223,688 is: 465,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,484 : 223,688 = 223,688 : x
  2. Step 2: Convert to fraction form
    107,484/223,688 = 223,688/x
  3. Step 3: Cross multiply
    107,484x = 223,688 × 223,688
  4. Step 4: Simplify right side
    107,484x = 50,036,321,344
  5. Step 5: Solve for x
    x = 50,036,321,344/107,484
  6. Step 6: Final answer
    x = 465,523.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.