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Finding the Third Proportional to 176,732 and 363,832

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Solution

The third proportional to 176,732 and 363,832 is: 749,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,732 : 363,832 = 363,832 : x
  2. Step 2: Convert to fraction form
    176,732/363,832 = 363,832/x
  3. Step 3: Cross multiply
    176,732x = 363,832 × 363,832
  4. Step 4: Simplify right side
    176,732x = 132,373,724,224
  5. Step 5: Solve for x
    x = 132,373,724,224/176,732
  6. Step 6: Final answer
    x = 749,008.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.