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Finding the Third Proportional to 200,657.25 and 330,817.92

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Solution

The third proportional to 200,657.25 and 330,817.92 is: 545,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657.25 : 330,817.92 = 330,817.92 : x
  2. Step 2: Convert to fraction form
    200,657.25/330,817.92 = 330,817.92/x
  3. Step 3: Cross multiply
    200,657.25x = 330,817.92 × 330,817.92
  4. Step 4: Simplify right side
    200,657.25x = 109,440,497,433.69
  5. Step 5: Solve for x
    x = 109,440,497,433.69/200,657.25
  6. Step 6: Final answer
    x = 545,410.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.