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Finding the Third Proportional to 171,234 and 272,706

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Solution

The third proportional to 171,234 and 272,706 is: 434,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,234 : 272,706 = 272,706 : x
  2. Step 2: Convert to fraction form
    171,234/272,706 = 272,706/x
  3. Step 3: Cross multiply
    171,234x = 272,706 × 272,706
  4. Step 4: Simplify right side
    171,234x = 74,368,562,436
  5. Step 5: Solve for x
    x = 74,368,562,436/171,234
  6. Step 6: Final answer
    x = 434,309.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.