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Finding the Third Proportional to 103,612 and 226,484

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Solution

The third proportional to 103,612 and 226,484 is: 495,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 226,484 = 226,484 : x
  2. Step 2: Convert to fraction form
    103,612/226,484 = 226,484/x
  3. Step 3: Cross multiply
    103,612x = 226,484 × 226,484
  4. Step 4: Simplify right side
    103,612x = 51,295,002,256
  5. Step 5: Solve for x
    x = 51,295,002,256/103,612
  6. Step 6: Final answer
    x = 495,068.16

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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.