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Finding the Third Proportional to 141,091.31 and 301,318.31

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Solution

The third proportional to 141,091.31 and 301,318.31 is: 643,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,091.31 : 301,318.31 = 301,318.31 : x
  2. Step 2: Convert to fraction form
    141,091.31/301,318.31 = 301,318.31/x
  3. Step 3: Cross multiply
    141,091.31x = 301,318.31 × 301,318.31
  4. Step 4: Simplify right side
    141,091.31x = 90,792,725,447.85
  5. Step 5: Solve for x
    x = 90,792,725,447.85/141,091.31
  6. Step 6: Final answer
    x = 643,503.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.