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Finding the Third Proportional to 133,690.50 and 290,901

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Solution

The third proportional to 133,690.50 and 290,901 is: 632,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.50 : 290,901 = 290,901 : x
  2. Step 2: Convert to fraction form
    133,690.50/290,901 = 290,901/x
  3. Step 3: Cross multiply
    133,690.50x = 290,901 × 290,901
  4. Step 4: Simplify right side
    133,690.50x = 84,623,391,801
  5. Step 5: Solve for x
    x = 84,623,391,801/133,690.50
  6. Step 6: Final answer
    x = 632,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.