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Finding the Third Proportional to 210,813 and 276,781.50

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Solution

The third proportional to 210,813 and 276,781.50 is: 363,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,813 : 276,781.50 = 276,781.50 : x
  2. Step 2: Convert to fraction form
    210,813/276,781.50 = 276,781.50/x
  3. Step 3: Cross multiply
    210,813x = 276,781.50 × 276,781.50
  4. Step 4: Simplify right side
    210,813x = 76,607,998,742.25
  5. Step 5: Solve for x
    x = 76,607,998,742.25/210,813
  6. Step 6: Final answer
    x = 363,393.14

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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.