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Finding the Third Proportional to 255,240 and 561,186

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Solution

The third proportional to 255,240 and 561,186 is: 1,233,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,240 : 561,186 = 561,186 : x
  2. Step 2: Convert to fraction form
    255,240/561,186 = 561,186/x
  3. Step 3: Cross multiply
    255,240x = 561,186 × 561,186
  4. Step 4: Simplify right side
    255,240x = 314,929,726,596
  5. Step 5: Solve for x
    x = 314,929,726,596/255,240
  6. Step 6: Final answer
    x = 1,233,857.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.