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Finding the Third Proportional to 118,217 and 256,108

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Solution

The third proportional to 118,217 and 256,108 is: 554,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,217 : 256,108 = 256,108 : x
  2. Step 2: Convert to fraction form
    118,217/256,108 = 256,108/x
  3. Step 3: Cross multiply
    118,217x = 256,108 × 256,108
  4. Step 4: Simplify right side
    118,217x = 65,591,307,664
  5. Step 5: Solve for x
    x = 65,591,307,664/118,217
  6. Step 6: Final answer
    x = 554,838.20

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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.