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Finding the Third Proportional to 163,928 and 247,048

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Solution

The third proportional to 163,928 and 247,048 is: 372,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,928 : 247,048 = 247,048 : x
  2. Step 2: Convert to fraction form
    163,928/247,048 = 247,048/x
  3. Step 3: Cross multiply
    163,928x = 247,048 × 247,048
  4. Step 4: Simplify right side
    163,928x = 61,032,714,304
  5. Step 5: Solve for x
    x = 61,032,714,304/163,928
  6. Step 6: Final answer
    x = 372,314.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.