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Finding the Third Proportional to 167,874.75 and 260,322.75

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Solution

The third proportional to 167,874.75 and 260,322.75 is: 403,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,874.75 : 260,322.75 = 260,322.75 : x
  2. Step 2: Convert to fraction form
    167,874.75/260,322.75 = 260,322.75/x
  3. Step 3: Cross multiply
    167,874.75x = 260,322.75 × 260,322.75
  4. Step 4: Simplify right side
    167,874.75x = 67,767,934,167.56
  5. Step 5: Solve for x
    x = 67,767,934,167.56/167,874.75
  6. Step 6: Final answer
    x = 403,681.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.