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Finding the Third Proportional to 134,048 and 200,413

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Solution

The third proportional to 134,048 and 200,413 is: 299,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,048 : 200,413 = 200,413 : x
  2. Step 2: Convert to fraction form
    134,048/200,413 = 200,413/x
  3. Step 3: Cross multiply
    134,048x = 200,413 × 200,413
  4. Step 4: Simplify right side
    134,048x = 40,165,370,569
  5. Step 5: Solve for x
    x = 40,165,370,569/134,048
  6. Step 6: Final answer
    x = 299,634.24

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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.