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Finding the Third Proportional to 101,337 and 234,570.94

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Solution

The third proportional to 101,337 and 234,570.94 is: 542,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,337 : 234,570.94 = 234,570.94 : x
  2. Step 2: Convert to fraction form
    101,337/234,570.94 = 234,570.94/x
  3. Step 3: Cross multiply
    101,337x = 234,570.94 × 234,570.94
  4. Step 4: Simplify right side
    101,337x = 55,023,524,719.63
  5. Step 5: Solve for x
    x = 55,023,524,719.63/101,337
  6. Step 6: Final answer
    x = 542,975.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.