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Finding the Third Proportional to 118,011 and 255,714

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Solution

The third proportional to 118,011 and 255,714 is: 554,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,011 : 255,714 = 255,714 : x
  2. Step 2: Convert to fraction form
    118,011/255,714 = 255,714/x
  3. Step 3: Cross multiply
    118,011x = 255,714 × 255,714
  4. Step 4: Simplify right side
    118,011x = 65,389,649,796
  5. Step 5: Solve for x
    x = 65,389,649,796/118,011
  6. Step 6: Final answer
    x = 554,097.92

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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.