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Finding the Third Proportional to 212,692 and 314,934

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Solution

The third proportional to 212,692 and 314,934 is: 466,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,692 : 314,934 = 314,934 : x
  2. Step 2: Convert to fraction form
    212,692/314,934 = 314,934/x
  3. Step 3: Cross multiply
    212,692x = 314,934 × 314,934
  4. Step 4: Simplify right side
    212,692x = 99,183,424,356
  5. Step 5: Solve for x
    x = 99,183,424,356/212,692
  6. Step 6: Final answer
    x = 466,324.19

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.