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Finding the Third Proportional to 98,400 and 211,132

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Solution

The third proportional to 98,400 and 211,132 is: 453,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400 : 211,132 = 211,132 : x
  2. Step 2: Convert to fraction form
    98,400/211,132 = 211,132/x
  3. Step 3: Cross multiply
    98,400x = 211,132 × 211,132
  4. Step 4: Simplify right side
    98,400x = 44,576,721,424
  5. Step 5: Solve for x
    x = 44,576,721,424/98,400
  6. Step 6: Final answer
    x = 453,015.46

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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.