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Finding the Third Proportional to 212,665.50 and 323,433

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Solution

The third proportional to 212,665.50 and 323,433 is: 491,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,665.50 : 323,433 = 323,433 : x
  2. Step 2: Convert to fraction form
    212,665.50/323,433 = 323,433/x
  3. Step 3: Cross multiply
    212,665.50x = 323,433 × 323,433
  4. Step 4: Simplify right side
    212,665.50x = 104,608,905,489
  5. Step 5: Solve for x
    x = 104,608,905,489/212,665.50
  6. Step 6: Final answer
    x = 491,894.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.