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Finding the Third Proportional to 133,237.69 and 204,796.69

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Solution

The third proportional to 133,237.69 and 204,796.69 is: 314,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,237.69 : 204,796.69 = 204,796.69 : x
  2. Step 2: Convert to fraction form
    133,237.69/204,796.69 = 204,796.69/x
  3. Step 3: Cross multiply
    133,237.69x = 204,796.69 × 204,796.69
  4. Step 4: Simplify right side
    133,237.69x = 41,941,683,210.97
  5. Step 5: Solve for x
    x = 41,941,683,210.97/133,237.69
  6. Step 6: Final answer
    x = 314,788.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.