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Finding the Third Proportional to 132,128 and 233,224

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Solution

The third proportional to 132,128 and 233,224 is: 411,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,128 : 233,224 = 233,224 : x
  2. Step 2: Convert to fraction form
    132,128/233,224 = 233,224/x
  3. Step 3: Cross multiply
    132,128x = 233,224 × 233,224
  4. Step 4: Simplify right side
    132,128x = 54,393,434,176
  5. Step 5: Solve for x
    x = 54,393,434,176/132,128
  6. Step 6: Final answer
    x = 411,672.27

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.