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Finding the Third Proportional to 169,529.52 and 230,235.86

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Solution

The third proportional to 169,529.52 and 230,235.86 is: 312,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,529.52 : 230,235.86 = 230,235.86 : x
  2. Step 2: Convert to fraction form
    169,529.52/230,235.86 = 230,235.86/x
  3. Step 3: Cross multiply
    169,529.52x = 230,235.86 × 230,235.86
  4. Step 4: Simplify right side
    169,529.52x = 53,008,549,143.43
  5. Step 5: Solve for x
    x = 53,008,549,143.43/169,529.52
  6. Step 6: Final answer
    x = 312,680.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.