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Finding the Third Proportional to 221,062.25 and 333,694.25

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Solution

The third proportional to 221,062.25 and 333,694.25 is: 503,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,062.25 : 333,694.25 = 333,694.25 : x
  2. Step 2: Convert to fraction form
    221,062.25/333,694.25 = 333,694.25/x
  3. Step 3: Cross multiply
    221,062.25x = 333,694.25 × 333,694.25
  4. Step 4: Simplify right side
    221,062.25x = 111,351,852,483.06
  5. Step 5: Solve for x
    x = 111,351,852,483.06/221,062.25
  6. Step 6: Final answer
    x = 503,712.65

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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.