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Finding the Third Proportional to 64,153.50 and 154,358.25

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Solution

The third proportional to 64,153.50 and 154,358.25 is: 371,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,153.50 : 154,358.25 = 154,358.25 : x
  2. Step 2: Convert to fraction form
    64,153.50/154,358.25 = 154,358.25/x
  3. Step 3: Cross multiply
    64,153.50x = 154,358.25 × 154,358.25
  4. Step 4: Simplify right side
    64,153.50x = 23,826,469,343.06
  5. Step 5: Solve for x
    x = 23,826,469,343.06/64,153.50
  6. Step 6: Final answer
    x = 371,397.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.