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Finding the Third Proportional to 101,370 and 234,645

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Solution

The third proportional to 101,370 and 234,645 is: 543,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,370 : 234,645 = 234,645 : x
  2. Step 2: Convert to fraction form
    101,370/234,645 = 234,645/x
  3. Step 3: Cross multiply
    101,370x = 234,645 × 234,645
  4. Step 4: Simplify right side
    101,370x = 55,058,276,025
  5. Step 5: Solve for x
    x = 55,058,276,025/101,370
  6. Step 6: Final answer
    x = 543,141.72

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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.