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Finding the Third Proportional to 157,600 and 235,856

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Solution

The third proportional to 157,600 and 235,856 is: 352,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600 : 235,856 = 235,856 : x
  2. Step 2: Convert to fraction form
    157,600/235,856 = 235,856/x
  3. Step 3: Cross multiply
    157,600x = 235,856 × 235,856
  4. Step 4: Simplify right side
    157,600x = 55,628,052,736
  5. Step 5: Solve for x
    x = 55,628,052,736/157,600
  6. Step 6: Final answer
    x = 352,969.88

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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.