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Finding the Third Proportional to 226,053 and 341,991

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Solution

The third proportional to 226,053 and 341,991 is: 517,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,053 : 341,991 = 341,991 : x
  2. Step 2: Convert to fraction form
    226,053/341,991 = 341,991/x
  3. Step 3: Cross multiply
    226,053x = 341,991 × 341,991
  4. Step 4: Simplify right side
    226,053x = 116,957,844,081
  5. Step 5: Solve for x
    x = 116,957,844,081/226,053
  6. Step 6: Final answer
    x = 517,391.25

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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.