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Finding the Third Proportional to 103,320 and 226,302

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Solution

The third proportional to 103,320 and 226,302 is: 495,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,320 : 226,302 = 226,302 : x
  2. Step 2: Convert to fraction form
    103,320/226,302 = 226,302/x
  3. Step 3: Cross multiply
    103,320x = 226,302 × 226,302
  4. Step 4: Simplify right side
    103,320x = 51,212,595,204
  5. Step 5: Solve for x
    x = 51,212,595,204/103,320
  6. Step 6: Final answer
    x = 495,669.72

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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.