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Finding the Third Proportional to 82,294 and 176,252

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Solution

The third proportional to 82,294 and 176,252 is: 377,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,294 : 176,252 = 176,252 : x
  2. Step 2: Convert to fraction form
    82,294/176,252 = 176,252/x
  3. Step 3: Cross multiply
    82,294x = 176,252 × 176,252
  4. Step 4: Simplify right side
    82,294x = 31,064,767,504
  5. Step 5: Solve for x
    x = 31,064,767,504/82,294
  6. Step 6: Final answer
    x = 377,485.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.