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Finding the Third Proportional to 201,757.50 and 442,698.50

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Solution

The third proportional to 201,757.50 and 442,698.50 is: 971,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,757.50 : 442,698.50 = 442,698.50 : x
  2. Step 2: Convert to fraction form
    201,757.50/442,698.50 = 442,698.50/x
  3. Step 3: Cross multiply
    201,757.50x = 442,698.50 × 442,698.50
  4. Step 4: Simplify right side
    201,757.50x = 195,981,961,902.25
  5. Step 5: Solve for x
    x = 195,981,961,902.25/201,757.50
  6. Step 6: Final answer
    x = 971,373.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.