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Finding the Third Proportional to 185,164 and 396,570

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Solution

The third proportional to 185,164 and 396,570 is: 849,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,164 : 396,570 = 396,570 : x
  2. Step 2: Convert to fraction form
    185,164/396,570 = 396,570/x
  3. Step 3: Cross multiply
    185,164x = 396,570 × 396,570
  4. Step 4: Simplify right side
    185,164x = 157,267,764,900
  5. Step 5: Solve for x
    x = 157,267,764,900/185,164
  6. Step 6: Final answer
    x = 849,343.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.