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Finding the Third Proportional to 167,908 and 362,882

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Solution

The third proportional to 167,908 and 362,882 is: 784,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,908 : 362,882 = 362,882 : x
  2. Step 2: Convert to fraction form
    167,908/362,882 = 362,882/x
  3. Step 3: Cross multiply
    167,908x = 362,882 × 362,882
  4. Step 4: Simplify right side
    167,908x = 131,683,345,924
  5. Step 5: Solve for x
    x = 131,683,345,924/167,908
  6. Step 6: Final answer
    x = 784,258.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.