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Finding the Third Proportional to 166,257 and 360,297

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Solution

The third proportional to 166,257 and 360,297 is: 780,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,257 : 360,297 = 360,297 : x
  2. Step 2: Convert to fraction form
    166,257/360,297 = 360,297/x
  3. Step 3: Cross multiply
    166,257x = 360,297 × 360,297
  4. Step 4: Simplify right side
    166,257x = 129,813,928,209
  5. Step 5: Solve for x
    x = 129,813,928,209/166,257
  6. Step 6: Final answer
    x = 780,802.78

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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.