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Finding the Third Proportional to 132,896 and 291,904

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Solution

The third proportional to 132,896 and 291,904 is: 641,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,896 : 291,904 = 291,904 : x
  2. Step 2: Convert to fraction form
    132,896/291,904 = 291,904/x
  3. Step 3: Cross multiply
    132,896x = 291,904 × 291,904
  4. Step 4: Simplify right side
    132,896x = 85,207,945,216
  5. Step 5: Solve for x
    x = 85,207,945,216/132,896
  6. Step 6: Final answer
    x = 641,162.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.