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Finding the Third Proportional to 235,608.75 and 316,036.69

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Solution

The third proportional to 235,608.75 and 316,036.69 is: 423,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,608.75 : 316,036.69 = 316,036.69 : x
  2. Step 2: Convert to fraction form
    235,608.75/316,036.69 = 316,036.69/x
  3. Step 3: Cross multiply
    235,608.75x = 316,036.69 × 316,036.69
  4. Step 4: Simplify right side
    235,608.75x = 99,879,187,845.97
  5. Step 5: Solve for x
    x = 99,879,187,845.97/235,608.75
  6. Step 6: Final answer
    x = 423,919.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.