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Finding the Third Proportional to 160,971 and 256,232

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Solution

The third proportional to 160,971 and 256,232 is: 407,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,971 : 256,232 = 256,232 : x
  2. Step 2: Convert to fraction form
    160,971/256,232 = 256,232/x
  3. Step 3: Cross multiply
    160,971x = 256,232 × 256,232
  4. Step 4: Simplify right side
    160,971x = 65,654,837,824
  5. Step 5: Solve for x
    x = 65,654,837,824/160,971
  6. Step 6: Final answer
    x = 407,867.49

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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.