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Finding the Third Proportional to 212,904.50 and 333,984.75

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Solution

The third proportional to 212,904.50 and 333,984.75 is: 523,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,904.50 : 333,984.75 = 333,984.75 : x
  2. Step 2: Convert to fraction form
    212,904.50/333,984.75 = 333,984.75/x
  3. Step 3: Cross multiply
    212,904.50x = 333,984.75 × 333,984.75
  4. Step 4: Simplify right side
    212,904.50x = 111,545,813,232.56
  5. Step 5: Solve for x
    x = 111,545,813,232.56/212,904.50
  6. Step 6: Final answer
    x = 523,924.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.