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Finding the Third Proportional to 176,711 and 368,323

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Solution

The third proportional to 176,711 and 368,323 is: 767,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,711 : 368,323 = 368,323 : x
  2. Step 2: Convert to fraction form
    176,711/368,323 = 368,323/x
  3. Step 3: Cross multiply
    176,711x = 368,323 × 368,323
  4. Step 4: Simplify right side
    176,711x = 135,661,832,329
  5. Step 5: Solve for x
    x = 135,661,832,329/176,711
  6. Step 6: Final answer
    x = 767,704.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.