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Finding the Third Proportional to 77,776.50 and 170,619

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Solution

The third proportional to 77,776.50 and 170,619 is: 374,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,776.50 : 170,619 = 170,619 : x
  2. Step 2: Convert to fraction form
    77,776.50/170,619 = 170,619/x
  3. Step 3: Cross multiply
    77,776.50x = 170,619 × 170,619
  4. Step 4: Simplify right side
    77,776.50x = 29,110,843,161
  5. Step 5: Solve for x
    x = 29,110,843,161/77,776.50
  6. Step 6: Final answer
    x = 374,288.42

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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.