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Finding the Third Proportional to 251,763 and 546,186

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Solution

The third proportional to 251,763 and 546,186 is: 1,184,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,763 : 546,186 = 546,186 : x
  2. Step 2: Convert to fraction form
    251,763/546,186 = 546,186/x
  3. Step 3: Cross multiply
    251,763x = 546,186 × 546,186
  4. Step 4: Simplify right side
    251,763x = 298,319,146,596
  5. Step 5: Solve for x
    x = 298,319,146,596/251,763
  6. Step 6: Final answer
    x = 1,184,920.53

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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.