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Finding the Third Proportional to 221,016 and 333,360

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Solution

The third proportional to 221,016 and 333,360 is: 502,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,016 : 333,360 = 333,360 : x
  2. Step 2: Convert to fraction form
    221,016/333,360 = 333,360/x
  3. Step 3: Cross multiply
    221,016x = 333,360 × 333,360
  4. Step 4: Simplify right side
    221,016x = 111,128,889,600
  5. Step 5: Solve for x
    x = 111,128,889,600/221,016
  6. Step 6: Final answer
    x = 502,809.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.