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Finding the Third Proportional to 170,130.38 and 204,940.13

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Solution

The third proportional to 170,130.38 and 204,940.13 is: 246,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,130.38 : 204,940.13 = 204,940.13 : x
  2. Step 2: Convert to fraction form
    170,130.38/204,940.13 = 204,940.13/x
  3. Step 3: Cross multiply
    170,130.38x = 204,940.13 × 204,940.13
  4. Step 4: Simplify right side
    170,130.38x = 42,000,454,835.02
  5. Step 5: Solve for x
    x = 42,000,454,835.02/170,130.38
  6. Step 6: Final answer
    x = 246,872.17

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.