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Finding the Third Proportional to 137,886 and 221,226

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Solution

The third proportional to 137,886 and 221,226 is: 354,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886 : 221,226 = 221,226 : x
  2. Step 2: Convert to fraction form
    137,886/221,226 = 221,226/x
  3. Step 3: Cross multiply
    137,886x = 221,226 × 221,226
  4. Step 4: Simplify right side
    137,886x = 48,940,943,076
  5. Step 5: Solve for x
    x = 48,940,943,076/137,886
  6. Step 6: Final answer
    x = 354,937.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.