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Finding the Third Proportional to 102,044 and 220,484

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Solution

The third proportional to 102,044 and 220,484 is: 476,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044 : 220,484 = 220,484 : x
  2. Step 2: Convert to fraction form
    102,044/220,484 = 220,484/x
  3. Step 3: Cross multiply
    102,044x = 220,484 × 220,484
  4. Step 4: Simplify right side
    102,044x = 48,613,194,256
  5. Step 5: Solve for x
    x = 48,613,194,256/102,044
  6. Step 6: Final answer
    x = 476,394.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.