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Finding the Third Proportional to 133,189.13 and 285,295.13

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Solution

The third proportional to 133,189.13 and 285,295.13 is: 611,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.13 : 285,295.13 = 285,295.13 : x
  2. Step 2: Convert to fraction form
    133,189.13/285,295.13 = 285,295.13/x
  3. Step 3: Cross multiply
    133,189.13x = 285,295.13 × 285,295.13
  4. Step 4: Simplify right side
    133,189.13x = 81,393,308,348.77
  5. Step 5: Solve for x
    x = 81,393,308,348.77/133,189.13
  6. Step 6: Final answer
    x = 611,110.77

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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.