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Finding the Third Proportional to 214,063.50 and 333,351

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Solution

The third proportional to 214,063.50 and 333,351 is: 519,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,063.50 : 333,351 = 333,351 : x
  2. Step 2: Convert to fraction form
    214,063.50/333,351 = 333,351/x
  3. Step 3: Cross multiply
    214,063.50x = 333,351 × 333,351
  4. Step 4: Simplify right side
    214,063.50x = 111,122,889,201
  5. Step 5: Solve for x
    x = 111,122,889,201/214,063.50
  6. Step 6: Final answer
    x = 519,111.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.