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Finding the Third Proportional to 113,044 and 248,278

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Solution

The third proportional to 113,044 and 248,278 is: 545,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,044 : 248,278 = 248,278 : x
  2. Step 2: Convert to fraction form
    113,044/248,278 = 248,278/x
  3. Step 3: Cross multiply
    113,044x = 248,278 × 248,278
  4. Step 4: Simplify right side
    113,044x = 61,641,965,284
  5. Step 5: Solve for x
    x = 61,641,965,284/113,044
  6. Step 6: Final answer
    x = 545,291.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.