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Finding the Third Proportional to 204,750 and 439,146

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Solution

The third proportional to 204,750 and 439,146 is: 941,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,750 : 439,146 = 439,146 : x
  2. Step 2: Convert to fraction form
    204,750/439,146 = 439,146/x
  3. Step 3: Cross multiply
    204,750x = 439,146 × 439,146
  4. Step 4: Simplify right side
    204,750x = 192,849,209,316
  5. Step 5: Solve for x
    x = 192,849,209,316/204,750
  6. Step 6: Final answer
    x = 941,876.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.