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Finding the Third Proportional to 103,338 and 225,630

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Solution

The third proportional to 103,338 and 225,630 is: 492,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338 : 225,630 = 225,630 : x
  2. Step 2: Convert to fraction form
    103,338/225,630 = 225,630/x
  3. Step 3: Cross multiply
    103,338x = 225,630 × 225,630
  4. Step 4: Simplify right side
    103,338x = 50,908,896,900
  5. Step 5: Solve for x
    x = 50,908,896,900/103,338
  6. Step 6: Final answer
    x = 492,644.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.