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Finding the Third Proportional to 102,424 and 223,607

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Solution

The third proportional to 102,424 and 223,607 is: 488,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424 : 223,607 = 223,607 : x
  2. Step 2: Convert to fraction form
    102,424/223,607 = 223,607/x
  3. Step 3: Cross multiply
    102,424x = 223,607 × 223,607
  4. Step 4: Simplify right side
    102,424x = 50,000,090,449
  5. Step 5: Solve for x
    x = 50,000,090,449/102,424
  6. Step 6: Final answer
    x = 488,167.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.