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Finding the Third Proportional to 237,340.69 and 317,046.94

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Solution

The third proportional to 237,340.69 and 317,046.94 is: 423,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,340.69 : 317,046.94 = 317,046.94 : x
  2. Step 2: Convert to fraction form
    237,340.69/317,046.94 = 317,046.94/x
  3. Step 3: Cross multiply
    237,340.69x = 317,046.94 × 317,046.94
  4. Step 4: Simplify right side
    237,340.69x = 100,518,760,578.13
  5. Step 5: Solve for x
    x = 100,518,760,578.13/237,340.69
  6. Step 6: Final answer
    x = 423,520.98

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