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Finding the Third Proportional to 226,838 and 342,080

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Solution

The third proportional to 226,838 and 342,080 is: 515,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,838 : 342,080 = 342,080 : x
  2. Step 2: Convert to fraction form
    226,838/342,080 = 342,080/x
  3. Step 3: Cross multiply
    226,838x = 342,080 × 342,080
  4. Step 4: Simplify right side
    226,838x = 117,018,726,400
  5. Step 5: Solve for x
    x = 117,018,726,400/226,838
  6. Step 6: Final answer
    x = 515,869.15

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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.