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Finding the Third Proportional to 103,607 and 226,475

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Solution

The third proportional to 103,607 and 226,475 is: 495,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,607 : 226,475 = 226,475 : x
  2. Step 2: Convert to fraction form
    103,607/226,475 = 226,475/x
  3. Step 3: Cross multiply
    103,607x = 226,475 × 226,475
  4. Step 4: Simplify right side
    103,607x = 51,290,925,625
  5. Step 5: Solve for x
    x = 51,290,925,625/103,607
  6. Step 6: Final answer
    x = 495,052.71

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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.