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Finding the Third Proportional to 166,368 and 360,764

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Solution

The third proportional to 166,368 and 360,764 is: 782,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,368 : 360,764 = 360,764 : x
  2. Step 2: Convert to fraction form
    166,368/360,764 = 360,764/x
  3. Step 3: Cross multiply
    166,368x = 360,764 × 360,764
  4. Step 4: Simplify right side
    166,368x = 130,150,663,696
  5. Step 5: Solve for x
    x = 130,150,663,696/166,368
  6. Step 6: Final answer
    x = 782,305.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.