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Finding the Third Proportional to 80,340.75 and 190,342.13

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Solution

The third proportional to 80,340.75 and 190,342.13 is: 450,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,340.75 : 190,342.13 = 190,342.13 : x
  2. Step 2: Convert to fraction form
    80,340.75/190,342.13 = 190,342.13/x
  3. Step 3: Cross multiply
    80,340.75x = 190,342.13 × 190,342.13
  4. Step 4: Simplify right side
    80,340.75x = 36,230,124,549.52
  5. Step 5: Solve for x
    x = 36,230,124,549.52/80,340.75
  6. Step 6: Final answer
    x = 450,955.77

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.