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Finding the Third Proportional to 170,036.25 and 371,157

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Solution

The third proportional to 170,036.25 and 371,157 is: 810,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,036.25 : 371,157 = 371,157 : x
  2. Step 2: Convert to fraction form
    170,036.25/371,157 = 371,157/x
  3. Step 3: Cross multiply
    170,036.25x = 371,157 × 371,157
  4. Step 4: Simplify right side
    170,036.25x = 137,757,518,649
  5. Step 5: Solve for x
    x = 137,757,518,649/170,036.25
  6. Step 6: Final answer
    x = 810,165.59

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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.