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Finding the Third Proportional to 115,332 and 255,714

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Solution

The third proportional to 115,332 and 255,714 is: 566,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,332 : 255,714 = 255,714 : x
  2. Step 2: Convert to fraction form
    115,332/255,714 = 255,714/x
  3. Step 3: Cross multiply
    115,332x = 255,714 × 255,714
  4. Step 4: Simplify right side
    115,332x = 65,389,649,796
  5. Step 5: Solve for x
    x = 65,389,649,796/115,332
  6. Step 6: Final answer
    x = 566,968.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.