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Finding the Third Proportional to 251,181 and 546,750

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Solution

The third proportional to 251,181 and 546,750 is: 1,190,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,181 : 546,750 = 546,750 : x
  2. Step 2: Convert to fraction form
    251,181/546,750 = 546,750/x
  3. Step 3: Cross multiply
    251,181x = 546,750 × 546,750
  4. Step 4: Simplify right side
    251,181x = 298,935,562,500
  5. Step 5: Solve for x
    x = 298,935,562,500/251,181
  6. Step 6: Final answer
    x = 1,190,120.12

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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.