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Finding the Third Proportional to 145,427.91 and 217,267.31

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Solution

The third proportional to 145,427.91 and 217,267.31 is: 324,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,427.91 : 217,267.31 = 217,267.31 : x
  2. Step 2: Convert to fraction form
    145,427.91/217,267.31 = 217,267.31/x
  3. Step 3: Cross multiply
    145,427.91x = 217,267.31 × 217,267.31
  4. Step 4: Simplify right side
    145,427.91x = 47,205,085,080.97
  5. Step 5: Solve for x
    x = 47,205,085,080.97/145,427.91
  6. Step 6: Final answer
    x = 324,594.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.