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Finding the Third Proportional to 146,091 and 221,850

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Solution

The third proportional to 146,091 and 221,850 is: 336,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,091 : 221,850 = 221,850 : x
  2. Step 2: Convert to fraction form
    146,091/221,850 = 221,850/x
  3. Step 3: Cross multiply
    146,091x = 221,850 × 221,850
  4. Step 4: Simplify right side
    146,091x = 49,217,422,500
  5. Step 5: Solve for x
    x = 49,217,422,500/146,091
  6. Step 6: Final answer
    x = 336,895.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.