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Finding the Third Proportional to 166,826.25 and 347,476.50

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Solution

The third proportional to 166,826.25 and 347,476.50 is: 723,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,826.25 : 347,476.50 = 347,476.50 : x
  2. Step 2: Convert to fraction form
    166,826.25/347,476.50 = 347,476.50/x
  3. Step 3: Cross multiply
    166,826.25x = 347,476.50 × 347,476.50
  4. Step 4: Simplify right side
    166,826.25x = 120,739,918,052.25
  5. Step 5: Solve for x
    x = 120,739,918,052.25/166,826.25
  6. Step 6: Final answer
    x = 723,746.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.