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Finding the Third Proportional to 171,975.66 and 364,841.72

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Solution

The third proportional to 171,975.66 and 364,841.72 is: 774,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,975.66 : 364,841.72 = 364,841.72 : x
  2. Step 2: Convert to fraction form
    171,975.66/364,841.72 = 364,841.72/x
  3. Step 3: Cross multiply
    171,975.66x = 364,841.72 × 364,841.72
  4. Step 4: Simplify right side
    171,975.66x = 133,109,479,740.45
  5. Step 5: Solve for x
    x = 133,109,479,740.45/171,975.66
  6. Step 6: Final answer
    x = 774,001.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.