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Finding the Third Proportional to 77,214.38 and 169,191

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Solution

The third proportional to 77,214.38 and 169,191 is: 370,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,214.38 : 169,191 = 169,191 : x
  2. Step 2: Convert to fraction form
    77,214.38/169,191 = 169,191/x
  3. Step 3: Cross multiply
    77,214.38x = 169,191 × 169,191
  4. Step 4: Simplify right side
    77,214.38x = 28,625,594,481
  5. Step 5: Solve for x
    x = 28,625,594,481/77,214.38
  6. Step 6: Final answer
    x = 370,728.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.