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Finding the Third Proportional to 86,302 and 178,596

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Solution

The third proportional to 86,302 and 178,596 is: 369,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,302 : 178,596 = 178,596 : x
  2. Step 2: Convert to fraction form
    86,302/178,596 = 178,596/x
  3. Step 3: Cross multiply
    86,302x = 178,596 × 178,596
  4. Step 4: Simplify right side
    86,302x = 31,896,531,216
  5. Step 5: Solve for x
    x = 31,896,531,216/86,302
  6. Step 6: Final answer
    x = 369,592.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.