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Finding the Third Proportional to 175,380.19 and 377,805.09

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Solution

The third proportional to 175,380.19 and 377,805.09 is: 813,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,380.19 : 377,805.09 = 377,805.09 : x
  2. Step 2: Convert to fraction form
    175,380.19/377,805.09 = 377,805.09/x
  3. Step 3: Cross multiply
    175,380.19x = 377,805.09 × 377,805.09
  4. Step 4: Simplify right side
    175,380.19x = 142,736,688,863.45
  5. Step 5: Solve for x
    x = 142,736,688,863.45/175,380.19
  6. Step 6: Final answer
    x = 813,870.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.