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Finding the Third Proportional to 179,617 and 299,348.50

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Solution

The third proportional to 179,617 and 299,348.50 is: 498,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,617 : 299,348.50 = 299,348.50 : x
  2. Step 2: Convert to fraction form
    179,617/299,348.50 = 299,348.50/x
  3. Step 3: Cross multiply
    179,617x = 299,348.50 × 299,348.50
  4. Step 4: Simplify right side
    179,617x = 89,609,524,452.25
  5. Step 5: Solve for x
    x = 89,609,524,452.25/179,617
  6. Step 6: Final answer
    x = 498,892.22

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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.