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Finding the Third Proportional to 118,248 and 256,170

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Solution

The third proportional to 118,248 and 256,170 is: 554,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,248 : 256,170 = 256,170 : x
  2. Step 2: Convert to fraction form
    118,248/256,170 = 256,170/x
  3. Step 3: Cross multiply
    118,248x = 256,170 × 256,170
  4. Step 4: Simplify right side
    118,248x = 65,623,068,900
  5. Step 5: Solve for x
    x = 65,623,068,900/118,248
  6. Step 6: Final answer
    x = 554,961.34

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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.