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Finding the Third Proportional to 133,358.50 and 206,356

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Solution

The third proportional to 133,358.50 and 206,356 is: 319,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,358.50 : 206,356 = 206,356 : x
  2. Step 2: Convert to fraction form
    133,358.50/206,356 = 206,356/x
  3. Step 3: Cross multiply
    133,358.50x = 206,356 × 206,356
  4. Step 4: Simplify right side
    133,358.50x = 42,582,798,736
  5. Step 5: Solve for x
    x = 42,582,798,736/133,358.50
  6. Step 6: Final answer
    x = 319,310.72

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