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Finding the Third Proportional to 133,685 and 297,255

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Solution

The third proportional to 133,685 and 297,255 is: 660,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,685 : 297,255 = 297,255 : x
  2. Step 2: Convert to fraction form
    133,685/297,255 = 297,255/x
  3. Step 3: Cross multiply
    133,685x = 297,255 × 297,255
  4. Step 4: Simplify right side
    133,685x = 88,360,535,025
  5. Step 5: Solve for x
    x = 88,360,535,025/133,685
  6. Step 6: Final answer
    x = 660,960.73

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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.