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Finding the Third Proportional to 239,454.50 and 360,187.50

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Solution

The third proportional to 239,454.50 and 360,187.50 is: 541,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,454.50 : 360,187.50 = 360,187.50 : x
  2. Step 2: Convert to fraction form
    239,454.50/360,187.50 = 360,187.50/x
  3. Step 3: Cross multiply
    239,454.50x = 360,187.50 × 360,187.50
  4. Step 4: Simplify right side
    239,454.50x = 129,735,035,156.25
  5. Step 5: Solve for x
    x = 129,735,035,156.25/239,454.50
  6. Step 6: Final answer
    x = 541,794.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.