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Finding the Third Proportional to 133,616 and 205,464

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Solution

The third proportional to 133,616 and 205,464 is: 315,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616 : 205,464 = 205,464 : x
  2. Step 2: Convert to fraction form
    133,616/205,464 = 205,464/x
  3. Step 3: Cross multiply
    133,616x = 205,464 × 205,464
  4. Step 4: Simplify right side
    133,616x = 42,215,455,296
  5. Step 5: Solve for x
    x = 42,215,455,296/133,616
  6. Step 6: Final answer
    x = 315,946.11

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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.