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Finding the Third Proportional to 133,604 and 291,832

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Solution

The third proportional to 133,604 and 291,832 is: 637,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604 : 291,832 = 291,832 : x
  2. Step 2: Convert to fraction form
    133,604/291,832 = 291,832/x
  3. Step 3: Cross multiply
    133,604x = 291,832 × 291,832
  4. Step 4: Simplify right side
    133,604x = 85,165,916,224
  5. Step 5: Solve for x
    x = 85,165,916,224/133,604
  6. Step 6: Final answer
    x = 637,450.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.