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Finding the Third Proportional to 133,427.25 and 206,374.50

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Solution

The third proportional to 133,427.25 and 206,374.50 is: 319,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,427.25 : 206,374.50 = 206,374.50 : x
  2. Step 2: Convert to fraction form
    133,427.25/206,374.50 = 206,374.50/x
  3. Step 3: Cross multiply
    133,427.25x = 206,374.50 × 206,374.50
  4. Step 4: Simplify right side
    133,427.25x = 42,590,434,250.25
  5. Step 5: Solve for x
    x = 42,590,434,250.25/133,427.25
  6. Step 6: Final answer
    x = 319,203.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.