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Finding the Third Proportional to 221,172.75 and 333,587.25

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Solution

The third proportional to 221,172.75 and 333,587.25 is: 503,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,172.75 : 333,587.25 = 333,587.25 : x
  2. Step 2: Convert to fraction form
    221,172.75/333,587.25 = 333,587.25/x
  3. Step 3: Cross multiply
    221,172.75x = 333,587.25 × 333,587.25
  4. Step 4: Simplify right side
    221,172.75x = 111,280,453,362.56
  5. Step 5: Solve for x
    x = 111,280,453,362.56/221,172.75
  6. Step 6: Final answer
    x = 503,138.17

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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.