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Finding the Third Proportional to 156,392 and 258,850

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Solution

The third proportional to 156,392 and 258,850 is: 428,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,392 : 258,850 = 258,850 : x
  2. Step 2: Convert to fraction form
    156,392/258,850 = 258,850/x
  3. Step 3: Cross multiply
    156,392x = 258,850 × 258,850
  4. Step 4: Simplify right side
    156,392x = 67,003,322,500
  5. Step 5: Solve for x
    x = 67,003,322,500/156,392
  6. Step 6: Final answer
    x = 428,431.91

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.