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Finding the Third Proportional to 237,816.75 and 348,193.13

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Solution

The third proportional to 237,816.75 and 348,193.13 is: 509,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,816.75 : 348,193.13 = 348,193.13 : x
  2. Step 2: Convert to fraction form
    237,816.75/348,193.13 = 348,193.13/x
  3. Step 3: Cross multiply
    237,816.75x = 348,193.13 × 348,193.13
  4. Step 4: Simplify right side
    237,816.75x = 121,238,452,297.27
  5. Step 5: Solve for x
    x = 121,238,452,297.27/237,816.75
  6. Step 6: Final answer
    x = 509,797.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.