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Finding the Third Proportional to 238,399.13 and 360,028.50

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Solution

The third proportional to 238,399.13 and 360,028.50 is: 543,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,399.13 : 360,028.50 = 360,028.50 : x
  2. Step 2: Convert to fraction form
    238,399.13/360,028.50 = 360,028.50/x
  3. Step 3: Cross multiply
    238,399.13x = 360,028.50 × 360,028.50
  4. Step 4: Simplify right side
    238,399.13x = 129,620,520,812.25
  5. Step 5: Solve for x
    x = 129,620,520,812.25/238,399.13
  6. Step 6: Final answer
    x = 543,712.23

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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.