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Finding the Third Proportional to 200,952 and 276,820.50

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Solution

The third proportional to 200,952 and 276,820.50 is: 381,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,952 : 276,820.50 = 276,820.50 : x
  2. Step 2: Convert to fraction form
    200,952/276,820.50 = 276,820.50/x
  3. Step 3: Cross multiply
    200,952x = 276,820.50 × 276,820.50
  4. Step 4: Simplify right side
    200,952x = 76,629,589,220.25
  5. Step 5: Solve for x
    x = 76,629,589,220.25/200,952
  6. Step 6: Final answer
    x = 381,332.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.