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Finding the Third Proportional to 172,534 and 371,294

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Solution

The third proportional to 172,534 and 371,294 is: 799,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,534 : 371,294 = 371,294 : x
  2. Step 2: Convert to fraction form
    172,534/371,294 = 371,294/x
  3. Step 3: Cross multiply
    172,534x = 371,294 × 371,294
  4. Step 4: Simplify right side
    172,534x = 137,859,234,436
  5. Step 5: Solve for x
    x = 137,859,234,436/172,534
  6. Step 6: Final answer
    x = 799,026.48

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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.