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Finding the Third Proportional to 227,448 and 349,920

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Solution

The third proportional to 227,448 and 349,920 is: 538,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,448 : 349,920 = 349,920 : x
  2. Step 2: Convert to fraction form
    227,448/349,920 = 349,920/x
  3. Step 3: Cross multiply
    227,448x = 349,920 × 349,920
  4. Step 4: Simplify right side
    227,448x = 122,444,006,400
  5. Step 5: Solve for x
    x = 122,444,006,400/227,448
  6. Step 6: Final answer
    x = 538,338.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.