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Finding the Third Proportional to 146,046 and 221,802

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Solution

The third proportional to 146,046 and 221,802 is: 336,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,046 : 221,802 = 221,802 : x
  2. Step 2: Convert to fraction form
    146,046/221,802 = 221,802/x
  3. Step 3: Cross multiply
    146,046x = 221,802 × 221,802
  4. Step 4: Simplify right side
    146,046x = 49,196,127,204
  5. Step 5: Solve for x
    x = 49,196,127,204/146,046
  6. Step 6: Final answer
    x = 336,853.64

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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.