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Finding the Third Proportional to 221,170.50 and 333,588

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Solution

The third proportional to 221,170.50 and 333,588 is: 503,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,170.50 : 333,588 = 333,588 : x
  2. Step 2: Convert to fraction form
    221,170.50/333,588 = 333,588/x
  3. Step 3: Cross multiply
    221,170.50x = 333,588 × 333,588
  4. Step 4: Simplify right side
    221,170.50x = 111,280,953,744
  5. Step 5: Solve for x
    x = 111,280,953,744/221,170.50
  6. Step 6: Final answer
    x = 503,145.55

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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.