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Finding the Third Proportional to 160,967.06 and 218,614.78

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Solution

The third proportional to 160,967.06 and 218,614.78 is: 296,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,967.06 : 218,614.78 = 218,614.78 : x
  2. Step 2: Convert to fraction form
    160,967.06/218,614.78 = 218,614.78/x
  3. Step 3: Cross multiply
    160,967.06x = 218,614.78 × 218,614.78
  4. Step 4: Simplify right side
    160,967.06x = 47,792,422,580.99
  5. Step 5: Solve for x
    x = 47,792,422,580.99/160,967.06
  6. Step 6: Final answer
    x = 296,908.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.