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Finding the Third Proportional to 148,281.75 and 326,083.50

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Solution

The third proportional to 148,281.75 and 326,083.50 is: 717,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,281.75 : 326,083.50 = 326,083.50 : x
  2. Step 2: Convert to fraction form
    148,281.75/326,083.50 = 326,083.50/x
  3. Step 3: Cross multiply
    148,281.75x = 326,083.50 × 326,083.50
  4. Step 4: Simplify right side
    148,281.75x = 106,330,448,972.25
  5. Step 5: Solve for x
    x = 106,330,448,972.25/148,281.75
  6. Step 6: Final answer
    x = 717,083.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.