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Finding the Third Proportional to 118,140 and 255,966

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Solution

The third proportional to 118,140 and 255,966 is: 554,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,140 : 255,966 = 255,966 : x
  2. Step 2: Convert to fraction form
    118,140/255,966 = 255,966/x
  3. Step 3: Cross multiply
    118,140x = 255,966 × 255,966
  4. Step 4: Simplify right side
    118,140x = 65,518,593,156
  5. Step 5: Solve for x
    x = 65,518,593,156/118,140
  6. Step 6: Final answer
    x = 554,584.33

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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.