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Finding the Third Proportional to 166,160 and 357,664

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Solution

The third proportional to 166,160 and 357,664 is: 769,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,160 : 357,664 = 357,664 : x
  2. Step 2: Convert to fraction form
    166,160/357,664 = 357,664/x
  3. Step 3: Cross multiply
    166,160x = 357,664 × 357,664
  4. Step 4: Simplify right side
    166,160x = 127,923,536,896
  5. Step 5: Solve for x
    x = 127,923,536,896/166,160
  6. Step 6: Final answer
    x = 769,881.66

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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.