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Finding the Third Proportional to 176,820 and 361,811

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Solution

The third proportional to 176,820 and 361,811 is: 740,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,820 : 361,811 = 361,811 : x
  2. Step 2: Convert to fraction form
    176,820/361,811 = 361,811/x
  3. Step 3: Cross multiply
    176,820x = 361,811 × 361,811
  4. Step 4: Simplify right side
    176,820x = 130,907,199,721
  5. Step 5: Solve for x
    x = 130,907,199,721/176,820
  6. Step 6: Final answer
    x = 740,341.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.