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Finding the Third Proportional to 101,838 and 223,260

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Solution

The third proportional to 101,838 and 223,260 is: 489,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,838 : 223,260 = 223,260 : x
  2. Step 2: Convert to fraction form
    101,838/223,260 = 223,260/x
  3. Step 3: Cross multiply
    101,838x = 223,260 × 223,260
  4. Step 4: Simplify right side
    101,838x = 49,845,027,600
  5. Step 5: Solve for x
    x = 49,845,027,600/101,838
  6. Step 6: Final answer
    x = 489,454.11

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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.