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Finding the Third Proportional to 170,038.13 and 371,161.13

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Solution

The third proportional to 170,038.13 and 371,161.13 is: 810,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,038.13 : 371,161.13 = 371,161.13 : x
  2. Step 2: Convert to fraction form
    170,038.13/371,161.13 = 371,161.13/x
  3. Step 3: Cross multiply
    170,038.13x = 371,161.13 × 371,161.13
  4. Step 4: Simplify right side
    170,038.13x = 137,760,580,711.27
  5. Step 5: Solve for x
    x = 137,760,580,711.27/170,038.13
  6. Step 6: Final answer
    x = 810,174.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.