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Finding the Third Proportional to 153,774 and 206,910

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Solution

The third proportional to 153,774 and 206,910 is: 278,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,774 : 206,910 = 206,910 : x
  2. Step 2: Convert to fraction form
    153,774/206,910 = 206,910/x
  3. Step 3: Cross multiply
    153,774x = 206,910 × 206,910
  4. Step 4: Simplify right side
    153,774x = 42,811,748,100
  5. Step 5: Solve for x
    x = 42,811,748,100/153,774
  6. Step 6: Final answer
    x = 278,406.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.