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Finding the Third Proportional to 160,972 and 256,235

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Solution

The third proportional to 160,972 and 256,235 is: 407,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972 : 256,235 = 256,235 : x
  2. Step 2: Convert to fraction form
    160,972/256,235 = 256,235/x
  3. Step 3: Cross multiply
    160,972x = 256,235 × 256,235
  4. Step 4: Simplify right side
    160,972x = 65,656,375,225
  5. Step 5: Solve for x
    x = 65,656,375,225/160,972
  6. Step 6: Final answer
    x = 407,874.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.