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Finding the Third Proportional to 176,840 and 270,424

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Solution

The third proportional to 176,840 and 270,424 is: 413,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,840 : 270,424 = 270,424 : x
  2. Step 2: Convert to fraction form
    176,840/270,424 = 270,424/x
  3. Step 3: Cross multiply
    176,840x = 270,424 × 270,424
  4. Step 4: Simplify right side
    176,840x = 73,129,139,776
  5. Step 5: Solve for x
    x = 73,129,139,776/176,840
  6. Step 6: Final answer
    x = 413,532.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.