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Finding the Third Proportional to 251,186 and 546,758

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Solution

The third proportional to 251,186 and 546,758 is: 1,190,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,186 : 546,758 = 546,758 : x
  2. Step 2: Convert to fraction form
    251,186/546,758 = 546,758/x
  3. Step 3: Cross multiply
    251,186x = 546,758 × 546,758
  4. Step 4: Simplify right side
    251,186x = 298,944,310,564
  5. Step 5: Solve for x
    x = 298,944,310,564/251,186
  6. Step 6: Final answer
    x = 1,190,131.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.