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Finding the Third Proportional to 170,612 and 367,142

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Solution

The third proportional to 170,612 and 367,142 is: 790,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,612 : 367,142 = 367,142 : x
  2. Step 2: Convert to fraction form
    170,612/367,142 = 367,142/x
  3. Step 3: Cross multiply
    170,612x = 367,142 × 367,142
  4. Step 4: Simplify right side
    170,612x = 134,793,248,164
  5. Step 5: Solve for x
    x = 134,793,248,164/170,612
  6. Step 6: Final answer
    x = 790,057.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.