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Finding the Third Proportional to 133,689 and 297,265

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Solution

The third proportional to 133,689 and 297,265 is: 660,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,689 : 297,265 = 297,265 : x
  2. Step 2: Convert to fraction form
    133,689/297,265 = 297,265/x
  3. Step 3: Cross multiply
    133,689x = 297,265 × 297,265
  4. Step 4: Simplify right side
    133,689x = 88,366,480,225
  5. Step 5: Solve for x
    x = 88,366,480,225/133,689
  6. Step 6: Final answer
    x = 660,985.42

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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.