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Finding the Third Proportional to 234,924.75 and 355,668.75

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Solution

The third proportional to 234,924.75 and 355,668.75 is: 538,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,924.75 : 355,668.75 = 355,668.75 : x
  2. Step 2: Convert to fraction form
    234,924.75/355,668.75 = 355,668.75/x
  3. Step 3: Cross multiply
    234,924.75x = 355,668.75 × 355,668.75
  4. Step 4: Simplify right side
    234,924.75x = 126,500,259,726.56
  5. Step 5: Solve for x
    x = 126,500,259,726.56/234,924.75
  6. Step 6: Final answer
    x = 538,471.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.