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Finding the Third Proportional to 77,770.50 and 169,608.75

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Solution

The third proportional to 77,770.50 and 169,608.75 is: 369,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,770.50 : 169,608.75 = 169,608.75 : x
  2. Step 2: Convert to fraction form
    77,770.50/169,608.75 = 169,608.75/x
  3. Step 3: Cross multiply
    77,770.50x = 169,608.75 × 169,608.75
  4. Step 4: Simplify right side
    77,770.50x = 28,767,128,076.56
  5. Step 5: Solve for x
    x = 28,767,128,076.56/77,770.50
  6. Step 6: Final answer
    x = 369,897.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.