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Finding the Third Proportional to 175,065 and 384,169.50

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Solution

The third proportional to 175,065 and 384,169.50 is: 843,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,065 : 384,169.50 = 384,169.50 : x
  2. Step 2: Convert to fraction form
    175,065/384,169.50 = 384,169.50/x
  3. Step 3: Cross multiply
    175,065x = 384,169.50 × 384,169.50
  4. Step 4: Simplify right side
    175,065x = 147,586,204,730.25
  5. Step 5: Solve for x
    x = 147,586,204,730.25/175,065
  6. Step 6: Final answer
    x = 843,036.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.