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Finding the Third Proportional to 233,178.75 and 342,126

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Solution

The third proportional to 233,178.75 and 342,126 is: 501,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178.75 : 342,126 = 342,126 : x
  2. Step 2: Convert to fraction form
    233,178.75/342,126 = 342,126/x
  3. Step 3: Cross multiply
    233,178.75x = 342,126 × 342,126
  4. Step 4: Simplify right side
    233,178.75x = 117,050,199,876
  5. Step 5: Solve for x
    x = 117,050,199,876/233,178.75
  6. Step 6: Final answer
    x = 501,976.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.