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Finding the Third Proportional to 171,248 and 272,733

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Solution

The third proportional to 171,248 and 272,733 is: 434,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,248 : 272,733 = 272,733 : x
  2. Step 2: Convert to fraction form
    171,248/272,733 = 272,733/x
  3. Step 3: Cross multiply
    171,248x = 272,733 × 272,733
  4. Step 4: Simplify right side
    171,248x = 74,383,289,289
  5. Step 5: Solve for x
    x = 74,383,289,289/171,248
  6. Step 6: Final answer
    x = 434,360.05

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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.