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Finding the Third Proportional to 84,296 and 180,588

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Solution

The third proportional to 84,296 and 180,588 is: 386,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296 : 180,588 = 180,588 : x
  2. Step 2: Convert to fraction form
    84,296/180,588 = 180,588/x
  3. Step 3: Cross multiply
    84,296x = 180,588 × 180,588
  4. Step 4: Simplify right side
    84,296x = 32,612,025,744
  5. Step 5: Solve for x
    x = 32,612,025,744/84,296
  6. Step 6: Final answer
    x = 386,875.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.