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Finding the Third Proportional to 166,780.27 and 358,888.22

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Solution

The third proportional to 166,780.27 and 358,888.22 is: 772,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,780.27 : 358,888.22 = 358,888.22 : x
  2. Step 2: Convert to fraction form
    166,780.27/358,888.22 = 358,888.22/x
  3. Step 3: Cross multiply
    166,780.27x = 358,888.22 × 358,888.22
  4. Step 4: Simplify right side
    166,780.27x = 128,800,753,557.55
  5. Step 5: Solve for x
    x = 128,800,753,557.55/166,780.27
  6. Step 6: Final answer
    x = 772,278.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.