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Finding the Third Proportional to 234,933.75 and 357,908.25

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Solution

The third proportional to 234,933.75 and 357,908.25 is: 545,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,933.75 : 357,908.25 = 357,908.25 : x
  2. Step 2: Convert to fraction form
    234,933.75/357,908.25 = 357,908.25/x
  3. Step 3: Cross multiply
    234,933.75x = 357,908.25 × 357,908.25
  4. Step 4: Simplify right side
    234,933.75x = 128,098,315,418.06
  5. Step 5: Solve for x
    x = 128,098,315,418.06/234,933.75
  6. Step 6: Final answer
    x = 545,252.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.