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Finding the Third Proportional to 103,734 and 227,340

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Solution

The third proportional to 103,734 and 227,340 is: 498,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734 : 227,340 = 227,340 : x
  2. Step 2: Convert to fraction form
    103,734/227,340 = 227,340/x
  3. Step 3: Cross multiply
    103,734x = 227,340 × 227,340
  4. Step 4: Simplify right side
    103,734x = 51,683,475,600
  5. Step 5: Solve for x
    x = 51,683,475,600/103,734
  6. Step 6: Final answer
    x = 498,230.82

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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.