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Finding the Third Proportional to 82,345.78 and 179,750.81

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Solution

The third proportional to 82,345.78 and 179,750.81 is: 392,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,345.78 : 179,750.81 = 179,750.81 : x
  2. Step 2: Convert to fraction form
    82,345.78/179,750.81 = 179,750.81/x
  3. Step 3: Cross multiply
    82,345.78x = 179,750.81 × 179,750.81
  4. Step 4: Simplify right side
    82,345.78x = 32,310,354,594.41
  5. Step 5: Solve for x
    x = 32,310,354,594.41/82,345.78
  6. Step 6: Final answer
    x = 392,374.13

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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.