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Finding the Third Proportional to 214,904.75 and 233,334.75

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Solution

The third proportional to 214,904.75 and 233,334.75 is: 253,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,904.75 : 233,334.75 = 233,334.75 : x
  2. Step 2: Convert to fraction form
    214,904.75/233,334.75 = 233,334.75/x
  3. Step 3: Cross multiply
    214,904.75x = 233,334.75 × 233,334.75
  4. Step 4: Simplify right side
    214,904.75x = 54,445,105,557.56
  5. Step 5: Solve for x
    x = 54,445,105,557.56/214,904.75
  6. Step 6: Final answer
    x = 253,345.29

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.