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Finding the Third Proportional to 82,246.50 and 170,955

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Solution

The third proportional to 82,246.50 and 170,955 is: 355,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246.50 : 170,955 = 170,955 : x
  2. Step 2: Convert to fraction form
    82,246.50/170,955 = 170,955/x
  3. Step 3: Cross multiply
    82,246.50x = 170,955 × 170,955
  4. Step 4: Simplify right side
    82,246.50x = 29,225,612,025
  5. Step 5: Solve for x
    x = 29,225,612,025/82,246.50
  6. Step 6: Final answer
    x = 355,341.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.