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Finding the Third Proportional to 157,615 and 235,865

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Solution

The third proportional to 157,615 and 235,865 is: 352,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,615 : 235,865 = 235,865 : x
  2. Step 2: Convert to fraction form
    157,615/235,865 = 235,865/x
  3. Step 3: Cross multiply
    157,615x = 235,865 × 235,865
  4. Step 4: Simplify right side
    157,615x = 55,632,298,225
  5. Step 5: Solve for x
    x = 55,632,298,225/157,615
  6. Step 6: Final answer
    x = 352,963.22

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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.