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Finding the Third Proportional to 105,444 and 248,904

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Solution

The third proportional to 105,444 and 248,904 is: 587,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,444 : 248,904 = 248,904 : x
  2. Step 2: Convert to fraction form
    105,444/248,904 = 248,904/x
  3. Step 3: Cross multiply
    105,444x = 248,904 × 248,904
  4. Step 4: Simplify right side
    105,444x = 61,953,201,216
  5. Step 5: Solve for x
    x = 61,953,201,216/105,444
  6. Step 6: Final answer
    x = 587,546.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.