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Finding the Third Proportional to 154,444 and 338,413

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Solution

The third proportional to 154,444 and 338,413 is: 741,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,444 : 338,413 = 338,413 : x
  2. Step 2: Convert to fraction form
    154,444/338,413 = 338,413/x
  3. Step 3: Cross multiply
    154,444x = 338,413 × 338,413
  4. Step 4: Simplify right side
    154,444x = 114,523,358,569
  5. Step 5: Solve for x
    x = 114,523,358,569/154,444
  6. Step 6: Final answer
    x = 741,520.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.