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Finding the Third Proportional to 101,246 and 234,386

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Solution

The third proportional to 101,246 and 234,386 is: 542,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,246 : 234,386 = 234,386 : x
  2. Step 2: Convert to fraction form
    101,246/234,386 = 234,386/x
  3. Step 3: Cross multiply
    101,246x = 234,386 × 234,386
  4. Step 4: Simplify right side
    101,246x = 54,936,796,996
  5. Step 5: Solve for x
    x = 54,936,796,996/101,246
  6. Step 6: Final answer
    x = 542,607.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.