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Finding the Third Proportional to 84,301.50 and 180,627

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Solution

The third proportional to 84,301.50 and 180,627 is: 387,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,301.50 : 180,627 = 180,627 : x
  2. Step 2: Convert to fraction form
    84,301.50/180,627 = 180,627/x
  3. Step 3: Cross multiply
    84,301.50x = 180,627 × 180,627
  4. Step 4: Simplify right side
    84,301.50x = 32,626,113,129
  5. Step 5: Solve for x
    x = 32,626,113,129/84,301.50
  6. Step 6: Final answer
    x = 387,016.99

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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.