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Finding the Third Proportional to 235,590 and 350,185

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Solution

The third proportional to 235,590 and 350,185 is: 520,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,590 : 350,185 = 350,185 : x
  2. Step 2: Convert to fraction form
    235,590/350,185 = 350,185/x
  3. Step 3: Cross multiply
    235,590x = 350,185 × 350,185
  4. Step 4: Simplify right side
    235,590x = 122,629,534,225
  5. Step 5: Solve for x
    x = 122,629,534,225/235,590
  6. Step 6: Final answer
    x = 520,520.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.