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Finding the Third Proportional to 103,695 and 227,478

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Solution

The third proportional to 103,695 and 227,478 is: 499,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 227,478 = 227,478 : x
  2. Step 2: Convert to fraction form
    103,695/227,478 = 227,478/x
  3. Step 3: Cross multiply
    103,695x = 227,478 × 227,478
  4. Step 4: Simplify right side
    103,695x = 51,746,240,484
  5. Step 5: Solve for x
    x = 51,746,240,484/103,695
  6. Step 6: Final answer
    x = 499,023.49

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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.