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Finding the Third Proportional to 155,824.50 and 333,249

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Solution

The third proportional to 155,824.50 and 333,249 is: 712,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,824.50 : 333,249 = 333,249 : x
  2. Step 2: Convert to fraction form
    155,824.50/333,249 = 333,249/x
  3. Step 3: Cross multiply
    155,824.50x = 333,249 × 333,249
  4. Step 4: Simplify right side
    155,824.50x = 111,054,896,001
  5. Step 5: Solve for x
    x = 111,054,896,001/155,824.50
  6. Step 6: Final answer
    x = 712,692.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.