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Finding the Third Proportional to 166,363 and 360,753

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Solution

The third proportional to 166,363 and 360,753 is: 782,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,363 : 360,753 = 360,753 : x
  2. Step 2: Convert to fraction form
    166,363/360,753 = 360,753/x
  3. Step 3: Cross multiply
    166,363x = 360,753 × 360,753
  4. Step 4: Simplify right side
    166,363x = 130,142,727,009
  5. Step 5: Solve for x
    x = 130,142,727,009/166,363
  6. Step 6: Final answer
    x = 782,281.68

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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.