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Finding the Third Proportional to 86,779.50 and 180,471

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Solution

The third proportional to 86,779.50 and 180,471 is: 375,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,779.50 : 180,471 = 180,471 : x
  2. Step 2: Convert to fraction form
    86,779.50/180,471 = 180,471/x
  3. Step 3: Cross multiply
    86,779.50x = 180,471 × 180,471
  4. Step 4: Simplify right side
    86,779.50x = 32,569,781,841
  5. Step 5: Solve for x
    x = 32,569,781,841/86,779.50
  6. Step 6: Final answer
    x = 375,316.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.