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Finding the Third Proportional to 64,153 and 154,357

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Solution

The third proportional to 64,153 and 154,357 is: 371,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,153 : 154,357 = 154,357 : x
  2. Step 2: Convert to fraction form
    64,153/154,357 = 154,357/x
  3. Step 3: Cross multiply
    64,153x = 154,357 × 154,357
  4. Step 4: Simplify right side
    64,153x = 23,826,083,449
  5. Step 5: Solve for x
    x = 23,826,083,449/64,153
  6. Step 6: Final answer
    x = 371,394.69

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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.