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Finding the Third Proportional to 134,282 and 188,229

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Solution

The third proportional to 134,282 and 188,229 is: 263,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,282 : 188,229 = 188,229 : x
  2. Step 2: Convert to fraction form
    134,282/188,229 = 188,229/x
  3. Step 3: Cross multiply
    134,282x = 188,229 × 188,229
  4. Step 4: Simplify right side
    134,282x = 35,430,156,441
  5. Step 5: Solve for x
    x = 35,430,156,441/134,282
  6. Step 6: Final answer
    x = 263,848.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.