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Finding the Third Proportional to 170,656 and 372,416

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Solution

The third proportional to 170,656 and 372,416 is: 812,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,656 : 372,416 = 372,416 : x
  2. Step 2: Convert to fraction form
    170,656/372,416 = 372,416/x
  3. Step 3: Cross multiply
    170,656x = 372,416 × 372,416
  4. Step 4: Simplify right side
    170,656x = 138,693,677,056
  5. Step 5: Solve for x
    x = 138,693,677,056/170,656
  6. Step 6: Final answer
    x = 812,709.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.