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Finding the Third Proportional to 101,302 and 234,520

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Solution

The third proportional to 101,302 and 234,520 is: 542,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,302 : 234,520 = 234,520 : x
  2. Step 2: Convert to fraction form
    101,302/234,520 = 234,520/x
  3. Step 3: Cross multiply
    101,302x = 234,520 × 234,520
  4. Step 4: Simplify right side
    101,302x = 54,999,630,400
  5. Step 5: Solve for x
    x = 54,999,630,400/101,302
  6. Step 6: Final answer
    x = 542,927.39

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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.