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Finding the Third Proportional to 179,374.50 and 370,413

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Solution

The third proportional to 179,374.50 and 370,413 is: 764,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,374.50 : 370,413 = 370,413 : x
  2. Step 2: Convert to fraction form
    179,374.50/370,413 = 370,413/x
  3. Step 3: Cross multiply
    179,374.50x = 370,413 × 370,413
  4. Step 4: Simplify right side
    179,374.50x = 137,205,790,569
  5. Step 5: Solve for x
    x = 137,205,790,569/179,374.50
  6. Step 6: Final answer
    x = 764,912.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.