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Finding the Third Proportional to 185,032 and 393,716

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Solution

The third proportional to 185,032 and 393,716 is: 837,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032 : 393,716 = 393,716 : x
  2. Step 2: Convert to fraction form
    185,032/393,716 = 393,716/x
  3. Step 3: Cross multiply
    185,032x = 393,716 × 393,716
  4. Step 4: Simplify right side
    185,032x = 155,012,288,656
  5. Step 5: Solve for x
    x = 155,012,288,656/185,032
  6. Step 6: Final answer
    x = 837,759.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.