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Finding the Third Proportional to 133,050 and 206,582

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Solution

The third proportional to 133,050 and 206,582 is: 320,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 206,582 = 206,582 : x
  2. Step 2: Convert to fraction form
    133,050/206,582 = 206,582/x
  3. Step 3: Cross multiply
    133,050x = 206,582 × 206,582
  4. Step 4: Simplify right side
    133,050x = 42,676,122,724
  5. Step 5: Solve for x
    x = 42,676,122,724/133,050
  6. Step 6: Final answer
    x = 320,752.52

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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.