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Finding the Third Proportional to 102,902 and 224,740

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Solution

The third proportional to 102,902 and 224,740 is: 490,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902 : 224,740 = 224,740 : x
  2. Step 2: Convert to fraction form
    102,902/224,740 = 224,740/x
  3. Step 3: Cross multiply
    102,902x = 224,740 × 224,740
  4. Step 4: Simplify right side
    102,902x = 50,508,067,600
  5. Step 5: Solve for x
    x = 50,508,067,600/102,902
  6. Step 6: Final answer
    x = 490,836.60

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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.