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Finding the Third Proportional to 161,572 and 226,412

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Solution

The third proportional to 161,572 and 226,412 is: 317,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572 : 226,412 = 226,412 : x
  2. Step 2: Convert to fraction form
    161,572/226,412 = 226,412/x
  3. Step 3: Cross multiply
    161,572x = 226,412 × 226,412
  4. Step 4: Simplify right side
    161,572x = 51,262,393,744
  5. Step 5: Solve for x
    x = 51,262,393,744/161,572
  6. Step 6: Final answer
    x = 317,272.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.