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Finding the Third Proportional to 176,820 and 363,846

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Solution

The third proportional to 176,820 and 363,846 is: 748,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,820 : 363,846 = 363,846 : x
  2. Step 2: Convert to fraction form
    176,820/363,846 = 363,846/x
  3. Step 3: Cross multiply
    176,820x = 363,846 × 363,846
  4. Step 4: Simplify right side
    176,820x = 132,383,911,716
  5. Step 5: Solve for x
    x = 132,383,911,716/176,820
  6. Step 6: Final answer
    x = 748,693.09

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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.