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Finding the Third Proportional to 175,419.56 and 369,177.19

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Solution

The third proportional to 175,419.56 and 369,177.19 is: 776,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,419.56 : 369,177.19 = 369,177.19 : x
  2. Step 2: Convert to fraction form
    175,419.56/369,177.19 = 369,177.19/x
  3. Step 3: Cross multiply
    175,419.56x = 369,177.19 × 369,177.19
  4. Step 4: Simplify right side
    175,419.56x = 136,291,795,770.41
  5. Step 5: Solve for x
    x = 136,291,795,770.41/175,419.56
  6. Step 6: Final answer
    x = 776,947.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.