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Finding the Third Proportional to 154,783.69 and 206,398.69

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Solution

The third proportional to 154,783.69 and 206,398.69 is: 275,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,783.69 : 206,398.69 = 206,398.69 : x
  2. Step 2: Convert to fraction form
    154,783.69/206,398.69 = 206,398.69/x
  3. Step 3: Cross multiply
    154,783.69x = 206,398.69 × 206,398.69
  4. Step 4: Simplify right side
    154,783.69x = 42,600,418,201.72
  5. Step 5: Solve for x
    x = 42,600,418,201.72/154,783.69
  6. Step 6: Final answer
    x = 275,225.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.