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Finding the Third Proportional to 167,400.56 and 239,288.06

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Solution

The third proportional to 167,400.56 and 239,288.06 is: 342,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,400.56 : 239,288.06 = 239,288.06 : x
  2. Step 2: Convert to fraction form
    167,400.56/239,288.06 = 239,288.06/x
  3. Step 3: Cross multiply
    167,400.56x = 239,288.06 × 239,288.06
  4. Step 4: Simplify right side
    167,400.56x = 57,258,776,855.00
  5. Step 5: Solve for x
    x = 57,258,776,855.00/167,400.56
  6. Step 6: Final answer
    x = 342,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.