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Finding the Third Proportional to 162,571 and 360,013

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Solution

The third proportional to 162,571 and 360,013 is: 797,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,571 : 360,013 = 360,013 : x
  2. Step 2: Convert to fraction form
    162,571/360,013 = 360,013/x
  3. Step 3: Cross multiply
    162,571x = 360,013 × 360,013
  4. Step 4: Simplify right side
    162,571x = 129,609,360,169
  5. Step 5: Solve for x
    x = 129,609,360,169/162,571
  6. Step 6: Final answer
    x = 797,247.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.