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Finding the Third Proportional to 189,695.25 and 253,735.88

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Solution

The third proportional to 189,695.25 and 253,735.88 is: 339,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,695.25 : 253,735.88 = 253,735.88 : x
  2. Step 2: Convert to fraction form
    189,695.25/253,735.88 = 253,735.88/x
  3. Step 3: Cross multiply
    189,695.25x = 253,735.88 × 253,735.88
  4. Step 4: Simplify right side
    189,695.25x = 64,381,894,262.02
  5. Step 5: Solve for x
    x = 64,381,894,262.02/189,695.25
  6. Step 6: Final answer
    x = 339,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.