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Finding the Third Proportional to 117,024 and 256,272

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Solution

The third proportional to 117,024 and 256,272 is: 561,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024 : 256,272 = 256,272 : x
  2. Step 2: Convert to fraction form
    117,024/256,272 = 256,272/x
  3. Step 3: Cross multiply
    117,024x = 256,272 × 256,272
  4. Step 4: Simplify right side
    117,024x = 65,675,337,984
  5. Step 5: Solve for x
    x = 65,675,337,984/117,024
  6. Step 6: Final answer
    x = 561,212.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.