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Finding the Third Proportional to 103,468 and 225,890

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Solution

The third proportional to 103,468 and 225,890 is: 493,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,468 : 225,890 = 225,890 : x
  2. Step 2: Convert to fraction form
    103,468/225,890 = 225,890/x
  3. Step 3: Cross multiply
    103,468x = 225,890 × 225,890
  4. Step 4: Simplify right side
    103,468x = 51,026,292,100
  5. Step 5: Solve for x
    x = 51,026,292,100/103,468
  6. Step 6: Final answer
    x = 493,160.13

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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.