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Finding the Third Proportional to 157,866 and 236,064

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Solution

The third proportional to 157,866 and 236,064 is: 352,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,866 : 236,064 = 236,064 : x
  2. Step 2: Convert to fraction form
    157,866/236,064 = 236,064/x
  3. Step 3: Cross multiply
    157,866x = 236,064 × 236,064
  4. Step 4: Simplify right side
    157,866x = 55,726,212,096
  5. Step 5: Solve for x
    x = 55,726,212,096/157,866
  6. Step 6: Final answer
    x = 352,996.92

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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.