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Finding the Third Proportional to 162,090 and 252,976

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Solution

The third proportional to 162,090 and 252,976 is: 394,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,090 : 252,976 = 252,976 : x
  2. Step 2: Convert to fraction form
    162,090/252,976 = 252,976/x
  3. Step 3: Cross multiply
    162,090x = 252,976 × 252,976
  4. Step 4: Simplify right side
    162,090x = 63,996,856,576
  5. Step 5: Solve for x
    x = 63,996,856,576/162,090
  6. Step 6: Final answer
    x = 394,822.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.