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Finding the Third Proportional to 179,888 and 256,272

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Solution

The third proportional to 179,888 and 256,272 is: 365,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,888 : 256,272 = 256,272 : x
  2. Step 2: Convert to fraction form
    179,888/256,272 = 256,272/x
  3. Step 3: Cross multiply
    179,888x = 256,272 × 256,272
  4. Step 4: Simplify right side
    179,888x = 65,675,337,984
  5. Step 5: Solve for x
    x = 65,675,337,984/179,888
  6. Step 6: Final answer
    x = 365,090.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.