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Finding the Third Proportional to 151,014 and 211,673

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Solution

The third proportional to 151,014 and 211,673 is: 296,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,014 : 211,673 = 211,673 : x
  2. Step 2: Convert to fraction form
    151,014/211,673 = 211,673/x
  3. Step 3: Cross multiply
    151,014x = 211,673 × 211,673
  4. Step 4: Simplify right side
    151,014x = 44,805,458,929
  5. Step 5: Solve for x
    x = 44,805,458,929/151,014
  6. Step 6: Final answer
    x = 296,697.39

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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.