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Finding the Third Proportional to 254,153 and 547,670

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Solution

The third proportional to 254,153 and 547,670 is: 1,180,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,153 : 547,670 = 547,670 : x
  2. Step 2: Convert to fraction form
    254,153/547,670 = 547,670/x
  3. Step 3: Cross multiply
    254,153x = 547,670 × 547,670
  4. Step 4: Simplify right side
    254,153x = 299,942,428,900
  5. Step 5: Solve for x
    x = 299,942,428,900/254,153
  6. Step 6: Final answer
    x = 1,180,164.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.