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Finding the Third Proportional to 168,424 and 247,711

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Solution

The third proportional to 168,424 and 247,711 is: 364,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,424 : 247,711 = 247,711 : x
  2. Step 2: Convert to fraction form
    168,424/247,711 = 247,711/x
  3. Step 3: Cross multiply
    168,424x = 247,711 × 247,711
  4. Step 4: Simplify right side
    168,424x = 61,360,739,521
  5. Step 5: Solve for x
    x = 61,360,739,521/168,424
  6. Step 6: Final answer
    x = 364,323.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.