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Finding the Third Proportional to 118,012 and 255,715

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Solution

The third proportional to 118,012 and 255,715 is: 554,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,012 : 255,715 = 255,715 : x
  2. Step 2: Convert to fraction form
    118,012/255,715 = 255,715/x
  3. Step 3: Cross multiply
    118,012x = 255,715 × 255,715
  4. Step 4: Simplify right side
    118,012x = 65,390,161,225
  5. Step 5: Solve for x
    x = 65,390,161,225/118,012
  6. Step 6: Final answer
    x = 554,097.56

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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.