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Finding the Third Proportional to 82,314 and 177,453

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Solution

The third proportional to 82,314 and 177,453 is: 382,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314 : 177,453 = 177,453 : x
  2. Step 2: Convert to fraction form
    82,314/177,453 = 177,453/x
  3. Step 3: Cross multiply
    82,314x = 177,453 × 177,453
  4. Step 4: Simplify right side
    82,314x = 31,489,567,209
  5. Step 5: Solve for x
    x = 31,489,567,209/82,314
  6. Step 6: Final answer
    x = 382,554.21

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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.