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Finding the Third Proportional to 269,041.50 and 404,200.13

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Solution

The third proportional to 269,041.50 and 404,200.13 is: 607,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,041.50 : 404,200.13 = 404,200.13 : x
  2. Step 2: Convert to fraction form
    269,041.50/404,200.13 = 404,200.13/x
  3. Step 3: Cross multiply
    269,041.50x = 404,200.13 × 404,200.13
  4. Step 4: Simplify right side
    269,041.50x = 163,377,741,050.02
  5. Step 5: Solve for x
    x = 163,377,741,050.02/269,041.50
  6. Step 6: Final answer
    x = 607,258.51

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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.