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Finding the Third Proportional to 171,084 and 375,704

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Solution

The third proportional to 171,084 and 375,704 is: 825,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,084 : 375,704 = 375,704 : x
  2. Step 2: Convert to fraction form
    171,084/375,704 = 375,704/x
  3. Step 3: Cross multiply
    171,084x = 375,704 × 375,704
  4. Step 4: Simplify right side
    171,084x = 141,153,495,616
  5. Step 5: Solve for x
    x = 141,153,495,616/171,084
  6. Step 6: Final answer
    x = 825,053.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.