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Finding the Third Proportional to 239,145.75 and 370,269

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Solution

The third proportional to 239,145.75 and 370,269 is: 573,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,145.75 : 370,269 = 370,269 : x
  2. Step 2: Convert to fraction form
    239,145.75/370,269 = 370,269/x
  3. Step 3: Cross multiply
    239,145.75x = 370,269 × 370,269
  4. Step 4: Simplify right side
    239,145.75x = 137,099,132,361
  5. Step 5: Solve for x
    x = 137,099,132,361/239,145.75
  6. Step 6: Final answer
    x = 573,286.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.