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Finding the Third Proportional to 158,823 and 238,288

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Solution

The third proportional to 158,823 and 238,288 is: 357,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,823 : 238,288 = 238,288 : x
  2. Step 2: Convert to fraction form
    158,823/238,288 = 238,288/x
  3. Step 3: Cross multiply
    158,823x = 238,288 × 238,288
  4. Step 4: Simplify right side
    158,823x = 56,781,170,944
  5. Step 5: Solve for x
    x = 56,781,170,944/158,823
  6. Step 6: Final answer
    x = 357,512.27

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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.