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Finding the Third Proportional to 103,539 and 226,461

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Solution

The third proportional to 103,539 and 226,461 is: 495,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,539 : 226,461 = 226,461 : x
  2. Step 2: Convert to fraction form
    103,539/226,461 = 226,461/x
  3. Step 3: Cross multiply
    103,539x = 226,461 × 226,461
  4. Step 4: Simplify right side
    103,539x = 51,284,584,521
  5. Step 5: Solve for x
    x = 51,284,584,521/103,539
  6. Step 6: Final answer
    x = 495,316.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.