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Finding the Third Proportional to 82,286 and 177,364

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Solution

The third proportional to 82,286 and 177,364 is: 382,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,286 : 177,364 = 177,364 : x
  2. Step 2: Convert to fraction form
    82,286/177,364 = 177,364/x
  3. Step 3: Cross multiply
    82,286x = 177,364 × 177,364
  4. Step 4: Simplify right side
    82,286x = 31,457,988,496
  5. Step 5: Solve for x
    x = 31,457,988,496/82,286
  6. Step 6: Final answer
    x = 382,300.62

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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.