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Finding the Third Proportional to 161,572 and 255,723

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Solution

The third proportional to 161,572 and 255,723 is: 404,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572 : 255,723 = 255,723 : x
  2. Step 2: Convert to fraction form
    161,572/255,723 = 255,723/x
  3. Step 3: Cross multiply
    161,572x = 255,723 × 255,723
  4. Step 4: Simplify right side
    161,572x = 65,394,252,729
  5. Step 5: Solve for x
    x = 65,394,252,729/161,572
  6. Step 6: Final answer
    x = 404,737.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.