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Finding the Third Proportional to 167,959 and 365,442

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Solution

The third proportional to 167,959 and 365,442 is: 795,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,959 : 365,442 = 365,442 : x
  2. Step 2: Convert to fraction form
    167,959/365,442 = 365,442/x
  3. Step 3: Cross multiply
    167,959x = 365,442 × 365,442
  4. Step 4: Simplify right side
    167,959x = 133,547,855,364
  5. Step 5: Solve for x
    x = 133,547,855,364/167,959
  6. Step 6: Final answer
    x = 795,121.76

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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.