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Finding the Third Proportional to 118,233 and 256,128

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Solution

The third proportional to 118,233 and 256,128 is: 554,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,233 : 256,128 = 256,128 : x
  2. Step 2: Convert to fraction form
    118,233/256,128 = 256,128/x
  3. Step 3: Cross multiply
    118,233x = 256,128 × 256,128
  4. Step 4: Simplify right side
    118,233x = 65,601,552,384
  5. Step 5: Solve for x
    x = 65,601,552,384/118,233
  6. Step 6: Final answer
    x = 554,849.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.