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Finding the Third Proportional to 173,778.75 and 255,030.19

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Solution

The third proportional to 173,778.75 and 255,030.19 is: 374,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,778.75 : 255,030.19 = 255,030.19 : x
  2. Step 2: Convert to fraction form
    173,778.75/255,030.19 = 255,030.19/x
  3. Step 3: Cross multiply
    173,778.75x = 255,030.19 × 255,030.19
  4. Step 4: Simplify right side
    173,778.75x = 65,040,396,536.29
  5. Step 5: Solve for x
    x = 65,040,396,536.29/173,778.75
  6. Step 6: Final answer
    x = 374,271.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.