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Finding the Third Proportional to 157,325 and 235,942

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Solution

The third proportional to 157,325 and 235,942 is: 353,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,325 : 235,942 = 235,942 : x
  2. Step 2: Convert to fraction form
    157,325/235,942 = 235,942/x
  3. Step 3: Cross multiply
    157,325x = 235,942 × 235,942
  4. Step 4: Simplify right side
    157,325x = 55,668,627,364
  5. Step 5: Solve for x
    x = 55,668,627,364/157,325
  6. Step 6: Final answer
    x = 353,844.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.