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Finding the Third Proportional to 238,422 and 360,063

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Solution

The third proportional to 238,422 and 360,063 is: 543,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,422 : 360,063 = 360,063 : x
  2. Step 2: Convert to fraction form
    238,422/360,063 = 360,063/x
  3. Step 3: Cross multiply
    238,422x = 360,063 × 360,063
  4. Step 4: Simplify right side
    238,422x = 129,645,363,969
  5. Step 5: Solve for x
    x = 129,645,363,969/238,422
  6. Step 6: Final answer
    x = 543,764.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.