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Finding the Third Proportional to 163,228 and 351,344

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Solution

The third proportional to 163,228 and 351,344 is: 756,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,228 : 351,344 = 351,344 : x
  2. Step 2: Convert to fraction form
    163,228/351,344 = 351,344/x
  3. Step 3: Cross multiply
    163,228x = 351,344 × 351,344
  4. Step 4: Simplify right side
    163,228x = 123,442,606,336
  5. Step 5: Solve for x
    x = 123,442,606,336/163,228
  6. Step 6: Final answer
    x = 756,258.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.