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Finding the Third Proportional to 185,642 and 298,911

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Solution

The third proportional to 185,642 and 298,911 is: 481,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,642 : 298,911 = 298,911 : x
  2. Step 2: Convert to fraction form
    185,642/298,911 = 298,911/x
  3. Step 3: Cross multiply
    185,642x = 298,911 × 298,911
  4. Step 4: Simplify right side
    185,642x = 89,347,785,921
  5. Step 5: Solve for x
    x = 89,347,785,921/185,642
  6. Step 6: Final answer
    x = 481,290.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.