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Finding the Third Proportional to 154,288.50 and 204,724.13

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Solution

The third proportional to 154,288.50 and 204,724.13 is: 271,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,288.50 : 204,724.13 = 204,724.13 : x
  2. Step 2: Convert to fraction form
    154,288.50/204,724.13 = 204,724.13/x
  3. Step 3: Cross multiply
    154,288.50x = 204,724.13 × 204,724.13
  4. Step 4: Simplify right side
    154,288.50x = 41,911,967,357.02
  5. Step 5: Solve for x
    x = 41,911,967,357.02/154,288.50
  6. Step 6: Final answer
    x = 271,646.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.