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Finding the Third Proportional to 137,333 and 212,221

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Solution

The third proportional to 137,333 and 212,221 is: 327,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,333 : 212,221 = 212,221 : x
  2. Step 2: Convert to fraction form
    137,333/212,221 = 212,221/x
  3. Step 3: Cross multiply
    137,333x = 212,221 × 212,221
  4. Step 4: Simplify right side
    137,333x = 45,037,752,841
  5. Step 5: Solve for x
    x = 45,037,752,841/137,333
  6. Step 6: Final answer
    x = 327,945.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.