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Finding the Third Proportional to 98,271 and 234,009

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Solution

The third proportional to 98,271 and 234,009 is: 557,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,271 : 234,009 = 234,009 : x
  2. Step 2: Convert to fraction form
    98,271/234,009 = 234,009/x
  3. Step 3: Cross multiply
    98,271x = 234,009 × 234,009
  4. Step 4: Simplify right side
    98,271x = 54,760,212,081
  5. Step 5: Solve for x
    x = 54,760,212,081/98,271
  6. Step 6: Final answer
    x = 557,236.74

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.