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Finding the Third Proportional to 107,069 and 230,582

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Solution

The third proportional to 107,069 and 230,582 is: 496,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,069 : 230,582 = 230,582 : x
  2. Step 2: Convert to fraction form
    107,069/230,582 = 230,582/x
  3. Step 3: Cross multiply
    107,069x = 230,582 × 230,582
  4. Step 4: Simplify right side
    107,069x = 53,168,058,724
  5. Step 5: Solve for x
    x = 53,168,058,724/107,069
  6. Step 6: Final answer
    x = 496,577.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.