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Finding the Third Proportional to 238,404 and 360,035

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Solution

The third proportional to 238,404 and 360,035 is: 543,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,404 : 360,035 = 360,035 : x
  2. Step 2: Convert to fraction form
    238,404/360,035 = 360,035/x
  3. Step 3: Cross multiply
    238,404x = 360,035 × 360,035
  4. Step 4: Simplify right side
    238,404x = 129,625,201,225
  5. Step 5: Solve for x
    x = 129,625,201,225/238,404
  6. Step 6: Final answer
    x = 543,720.75

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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.