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Finding the Third Proportional to 151,012 and 211,237

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Solution

The third proportional to 151,012 and 211,237 is: 295,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012 : 211,237 = 211,237 : x
  2. Step 2: Convert to fraction form
    151,012/211,237 = 211,237/x
  3. Step 3: Cross multiply
    151,012x = 211,237 × 211,237
  4. Step 4: Simplify right side
    151,012x = 44,621,070,169
  5. Step 5: Solve for x
    x = 44,621,070,169/151,012
  6. Step 6: Final answer
    x = 295,480.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.