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Finding the Third Proportional to 144,513 and 226,993

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Solution

The third proportional to 144,513 and 226,993 is: 356,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,513 : 226,993 = 226,993 : x
  2. Step 2: Convert to fraction form
    144,513/226,993 = 226,993/x
  3. Step 3: Cross multiply
    144,513x = 226,993 × 226,993
  4. Step 4: Simplify right side
    144,513x = 51,525,822,049
  5. Step 5: Solve for x
    x = 51,525,822,049/144,513
  6. Step 6: Final answer
    x = 356,548.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.