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Finding the Third Proportional to 85,313 and 180,460

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Solution

The third proportional to 85,313 and 180,460 is: 381,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,313 : 180,460 = 180,460 : x
  2. Step 2: Convert to fraction form
    85,313/180,460 = 180,460/x
  3. Step 3: Cross multiply
    85,313x = 180,460 × 180,460
  4. Step 4: Simplify right side
    85,313x = 32,565,811,600
  5. Step 5: Solve for x
    x = 32,565,811,600/85,313
  6. Step 6: Final answer
    x = 381,721.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.