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Finding the Third Proportional to 207,612 and 272,608.50

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Solution

The third proportional to 207,612 and 272,608.50 is: 357,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,612 : 272,608.50 = 272,608.50 : x
  2. Step 2: Convert to fraction form
    207,612/272,608.50 = 272,608.50/x
  3. Step 3: Cross multiply
    207,612x = 272,608.50 × 272,608.50
  4. Step 4: Simplify right side
    207,612x = 74,315,394,272.25
  5. Step 5: Solve for x
    x = 74,315,394,272.25/207,612
  6. Step 6: Final answer
    x = 357,953.27

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.