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Finding the Third Proportional to 133,353.84 and 291,645.56

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Solution

The third proportional to 133,353.84 and 291,645.56 is: 637,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,353.84 : 291,645.56 = 291,645.56 : x
  2. Step 2: Convert to fraction form
    133,353.84/291,645.56 = 291,645.56/x
  3. Step 3: Cross multiply
    133,353.84x = 291,645.56 × 291,645.56
  4. Step 4: Simplify right side
    133,353.84x = 85,057,134,125.94
  5. Step 5: Solve for x
    x = 85,057,134,125.94/133,353.84
  6. Step 6: Final answer
    x = 637,830.39

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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.