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Finding the Third Proportional to 115,904 and 254,336

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Solution

The third proportional to 115,904 and 254,336 is: 558,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,904 : 254,336 = 254,336 : x
  2. Step 2: Convert to fraction form
    115,904/254,336 = 254,336/x
  3. Step 3: Cross multiply
    115,904x = 254,336 × 254,336
  4. Step 4: Simplify right side
    115,904x = 64,686,800,896
  5. Step 5: Solve for x
    x = 64,686,800,896/115,904
  6. Step 6: Final answer
    x = 558,106.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.