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Finding the Third Proportional to 82,546 and 180,915

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Solution

The third proportional to 82,546 and 180,915 is: 396,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546 : 180,915 = 180,915 : x
  2. Step 2: Convert to fraction form
    82,546/180,915 = 180,915/x
  3. Step 3: Cross multiply
    82,546x = 180,915 × 180,915
  4. Step 4: Simplify right side
    82,546x = 32,730,237,225
  5. Step 5: Solve for x
    x = 32,730,237,225/82,546
  6. Step 6: Final answer
    x = 396,509.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.