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Finding the Third Proportional to 118,024 and 254,894

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Solution

The third proportional to 118,024 and 254,894 is: 550,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,024 : 254,894 = 254,894 : x
  2. Step 2: Convert to fraction form
    118,024/254,894 = 254,894/x
  3. Step 3: Cross multiply
    118,024x = 254,894 × 254,894
  4. Step 4: Simplify right side
    118,024x = 64,970,951,236
  5. Step 5: Solve for x
    x = 64,970,951,236/118,024
  6. Step 6: Final answer
    x = 550,489.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.