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Finding the Third Proportional to 170,948.81 and 371,999.25

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Solution

The third proportional to 170,948.81 and 371,999.25 is: 809,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,948.81 : 371,999.25 = 371,999.25 : x
  2. Step 2: Convert to fraction form
    170,948.81/371,999.25 = 371,999.25/x
  3. Step 3: Cross multiply
    170,948.81x = 371,999.25 × 371,999.25
  4. Step 4: Simplify right side
    170,948.81x = 138,383,442,000.56
  5. Step 5: Solve for x
    x = 138,383,442,000.56/170,948.81
  6. Step 6: Final answer
    x = 809,502.21

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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.