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Finding the Third Proportional to 160,968 and 256,228

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Solution

The third proportional to 160,968 and 256,228 is: 407,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,968 : 256,228 = 256,228 : x
  2. Step 2: Convert to fraction form
    160,968/256,228 = 256,228/x
  3. Step 3: Cross multiply
    160,968x = 256,228 × 256,228
  4. Step 4: Simplify right side
    160,968x = 65,652,787,984
  5. Step 5: Solve for x
    x = 65,652,787,984/160,968
  6. Step 6: Final answer
    x = 407,862.36

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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.