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Finding the Third Proportional to 133,604 and 205,446

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Solution

The third proportional to 133,604 and 205,446 is: 315,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604 : 205,446 = 205,446 : x
  2. Step 2: Convert to fraction form
    133,604/205,446 = 205,446/x
  3. Step 3: Cross multiply
    133,604x = 205,446 × 205,446
  4. Step 4: Simplify right side
    133,604x = 42,208,058,916
  5. Step 5: Solve for x
    x = 42,208,058,916/133,604
  6. Step 6: Final answer
    x = 315,919.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.