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Finding the Third Proportional to 214,078.50 and 333,371.25

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Solution

The third proportional to 214,078.50 and 333,371.25 is: 519,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,078.50 : 333,371.25 = 333,371.25 : x
  2. Step 2: Convert to fraction form
    214,078.50/333,371.25 = 333,371.25/x
  3. Step 3: Cross multiply
    214,078.50x = 333,371.25 × 333,371.25
  4. Step 4: Simplify right side
    214,078.50x = 111,136,390,326.56
  5. Step 5: Solve for x
    x = 111,136,390,326.56/214,078.50
  6. Step 6: Final answer
    x = 519,138.50

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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.