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Finding the Third Proportional to 212,613 and 319,881

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Solution

The third proportional to 212,613 and 319,881 is: 481,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,613 : 319,881 = 319,881 : x
  2. Step 2: Convert to fraction form
    212,613/319,881 = 319,881/x
  3. Step 3: Cross multiply
    212,613x = 319,881 × 319,881
  4. Step 4: Simplify right side
    212,613x = 102,323,854,161
  5. Step 5: Solve for x
    x = 102,323,854,161/212,613
  6. Step 6: Final answer
    x = 481,268.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.