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Finding the Third Proportional to 133,085 and 211,648

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Solution

The third proportional to 133,085 and 211,648 is: 336,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 211,648 = 211,648 : x
  2. Step 2: Convert to fraction form
    133,085/211,648 = 211,648/x
  3. Step 3: Cross multiply
    133,085x = 211,648 × 211,648
  4. Step 4: Simplify right side
    133,085x = 44,794,875,904
  5. Step 5: Solve for x
    x = 44,794,875,904/133,085
  6. Step 6: Final answer
    x = 336,588.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.