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Finding the Third Proportional to 179,652.75 and 299,403

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Solution

The third proportional to 179,652.75 and 299,403 is: 498,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,652.75 : 299,403 = 299,403 : x
  2. Step 2: Convert to fraction form
    179,652.75/299,403 = 299,403/x
  3. Step 3: Cross multiply
    179,652.75x = 299,403 × 299,403
  4. Step 4: Simplify right side
    179,652.75x = 89,642,156,409
  5. Step 5: Solve for x
    x = 89,642,156,409/179,652.75
  6. Step 6: Final answer
    x = 498,974.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.