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Finding the Third Proportional to 133,695.75 and 297,277.13

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Solution

The third proportional to 133,695.75 and 297,277.13 is: 661,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.75 : 297,277.13 = 297,277.13 : x
  2. Step 2: Convert to fraction form
    133,695.75/297,277.13 = 297,277.13/x
  3. Step 3: Cross multiply
    133,695.75x = 297,277.13 × 297,277.13
  4. Step 4: Simplify right side
    133,695.75x = 88,373,689,048.27
  5. Step 5: Solve for x
    x = 88,373,689,048.27/133,695.75
  6. Step 6: Final answer
    x = 661,005.97

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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.