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Finding the Third Proportional to 158,047 and 236,134

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Solution

The third proportional to 158,047 and 236,134 is: 352,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,047 : 236,134 = 236,134 : x
  2. Step 2: Convert to fraction form
    158,047/236,134 = 236,134/x
  3. Step 3: Cross multiply
    158,047x = 236,134 × 236,134
  4. Step 4: Simplify right side
    158,047x = 55,759,265,956
  5. Step 5: Solve for x
    x = 55,759,265,956/158,047
  6. Step 6: Final answer
    x = 352,801.80

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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.