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Finding the Third Proportional to 82,324 and 177,348

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Solution

The third proportional to 82,324 and 177,348 is: 382,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324 : 177,348 = 177,348 : x
  2. Step 2: Convert to fraction form
    82,324/177,348 = 177,348/x
  3. Step 3: Cross multiply
    82,324x = 177,348 × 177,348
  4. Step 4: Simplify right side
    82,324x = 31,452,313,104
  5. Step 5: Solve for x
    x = 31,452,313,104/82,324
  6. Step 6: Final answer
    x = 382,055.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.