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Finding the Third Proportional to 133,301.25 and 296,127

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Solution

The third proportional to 133,301.25 and 296,127 is: 657,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,301.25 : 296,127 = 296,127 : x
  2. Step 2: Convert to fraction form
    133,301.25/296,127 = 296,127/x
  3. Step 3: Cross multiply
    133,301.25x = 296,127 × 296,127
  4. Step 4: Simplify right side
    133,301.25x = 87,691,200,129
  5. Step 5: Solve for x
    x = 87,691,200,129/133,301.25
  6. Step 6: Final answer
    x = 657,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.