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Finding the Third Proportional to 110,703 and 229,284

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Solution

The third proportional to 110,703 and 229,284 is: 474,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,703 : 229,284 = 229,284 : x
  2. Step 2: Convert to fraction form
    110,703/229,284 = 229,284/x
  3. Step 3: Cross multiply
    110,703x = 229,284 × 229,284
  4. Step 4: Simplify right side
    110,703x = 52,571,152,656
  5. Step 5: Solve for x
    x = 52,571,152,656/110,703
  6. Step 6: Final answer
    x = 474,884.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.