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Finding the Third Proportional to 201,760.50 and 442,704

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Solution

The third proportional to 201,760.50 and 442,704 is: 971,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.50 : 442,704 = 442,704 : x
  2. Step 2: Convert to fraction form
    201,760.50/442,704 = 442,704/x
  3. Step 3: Cross multiply
    201,760.50x = 442,704 × 442,704
  4. Step 4: Simplify right side
    201,760.50x = 195,986,831,616
  5. Step 5: Solve for x
    x = 195,986,831,616/201,760.50
  6. Step 6: Final answer
    x = 971,383.55

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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.