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Finding the Third Proportional to 148,214.81 and 221,914.69

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Solution

The third proportional to 148,214.81 and 221,914.69 is: 332,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214.81 : 221,914.69 = 221,914.69 : x
  2. Step 2: Convert to fraction form
    148,214.81/221,914.69 = 221,914.69/x
  3. Step 3: Cross multiply
    148,214.81x = 221,914.69 × 221,914.69
  4. Step 4: Simplify right side
    148,214.81x = 49,246,128,528.22
  5. Step 5: Solve for x
    x = 49,246,128,528.22/148,214.81
  6. Step 6: Final answer
    x = 332,261.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.