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Finding the Third Proportional to 78,469 and 170,034

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Solution

The third proportional to 78,469 and 170,034 is: 368,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469 : 170,034 = 170,034 : x
  2. Step 2: Convert to fraction form
    78,469/170,034 = 170,034/x
  3. Step 3: Cross multiply
    78,469x = 170,034 × 170,034
  4. Step 4: Simplify right side
    78,469x = 28,911,561,156
  5. Step 5: Solve for x
    x = 28,911,561,156/78,469
  6. Step 6: Final answer
    x = 368,445.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.