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Finding the Third Proportional to 160,240 and 251,358

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Solution

The third proportional to 160,240 and 251,358 is: 394,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,240 : 251,358 = 251,358 : x
  2. Step 2: Convert to fraction form
    160,240/251,358 = 251,358/x
  3. Step 3: Cross multiply
    160,240x = 251,358 × 251,358
  4. Step 4: Simplify right side
    160,240x = 63,180,844,164
  5. Step 5: Solve for x
    x = 63,180,844,164/160,240
  6. Step 6: Final answer
    x = 394,288.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.