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Finding the Third Proportional to 170,191.50 and 371,543.25

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Solution

The third proportional to 170,191.50 and 371,543.25 is: 811,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,191.50 : 371,543.25 = 371,543.25 : x
  2. Step 2: Convert to fraction form
    170,191.50/371,543.25 = 371,543.25/x
  3. Step 3: Cross multiply
    170,191.50x = 371,543.25 × 371,543.25
  4. Step 4: Simplify right side
    170,191.50x = 138,044,386,620.56
  5. Step 5: Solve for x
    x = 138,044,386,620.56/170,191.50
  6. Step 6: Final answer
    x = 811,112.11

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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.