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Finding the Third Proportional to 171,324 and 272,826

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Solution

The third proportional to 171,324 and 272,826 is: 434,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,324 : 272,826 = 272,826 : x
  2. Step 2: Convert to fraction form
    171,324/272,826 = 272,826/x
  3. Step 3: Cross multiply
    171,324x = 272,826 × 272,826
  4. Step 4: Simplify right side
    171,324x = 74,434,026,276
  5. Step 5: Solve for x
    x = 74,434,026,276/171,324
  6. Step 6: Final answer
    x = 434,463.51

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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.