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Finding the Third Proportional to 206,178.75 and 301,897.13

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Solution

The third proportional to 206,178.75 and 301,897.13 is: 442,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,178.75 : 301,897.13 = 301,897.13 : x
  2. Step 2: Convert to fraction form
    206,178.75/301,897.13 = 301,897.13/x
  3. Step 3: Cross multiply
    206,178.75x = 301,897.13 × 301,897.13
  4. Step 4: Simplify right side
    206,178.75x = 91,141,874,083.27
  5. Step 5: Solve for x
    x = 91,141,874,083.27/206,178.75
  6. Step 6: Final answer
    x = 442,052.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.