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Finding the Third Proportional to 133,172 and 291,221

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Solution

The third proportional to 133,172 and 291,221 is: 636,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,172 : 291,221 = 291,221 : x
  2. Step 2: Convert to fraction form
    133,172/291,221 = 291,221/x
  3. Step 3: Cross multiply
    133,172x = 291,221 × 291,221
  4. Step 4: Simplify right side
    133,172x = 84,809,670,841
  5. Step 5: Solve for x
    x = 84,809,670,841/133,172
  6. Step 6: Final answer
    x = 636,843.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.