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Finding the Third Proportional to 103,946 and 225,388

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Solution

The third proportional to 103,946 and 225,388 is: 488,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,946 : 225,388 = 225,388 : x
  2. Step 2: Convert to fraction form
    103,946/225,388 = 225,388/x
  3. Step 3: Cross multiply
    103,946x = 225,388 × 225,388
  4. Step 4: Simplify right side
    103,946x = 50,799,750,544
  5. Step 5: Solve for x
    x = 50,799,750,544/103,946
  6. Step 6: Final answer
    x = 488,712.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.