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Finding the Third Proportional to 158,056 and 236,146

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Solution

The third proportional to 158,056 and 236,146 is: 352,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,056 : 236,146 = 236,146 : x
  2. Step 2: Convert to fraction form
    158,056/236,146 = 236,146/x
  3. Step 3: Cross multiply
    158,056x = 236,146 × 236,146
  4. Step 4: Simplify right side
    158,056x = 55,764,933,316
  5. Step 5: Solve for x
    x = 55,764,933,316/158,056
  6. Step 6: Final answer
    x = 352,817.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.