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Finding the Third Proportional to 133,982 and 291,212

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Solution

The third proportional to 133,982 and 291,212 is: 632,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,982 : 291,212 = 291,212 : x
  2. Step 2: Convert to fraction form
    133,982/291,212 = 291,212/x
  3. Step 3: Cross multiply
    133,982x = 291,212 × 291,212
  4. Step 4: Simplify right side
    133,982x = 84,804,428,944
  5. Step 5: Solve for x
    x = 84,804,428,944/133,982
  6. Step 6: Final answer
    x = 632,953.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.