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Finding the Third Proportional to 138,196 and 303,464

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Solution

The third proportional to 138,196 and 303,464 is: 666,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196 : 303,464 = 303,464 : x
  2. Step 2: Convert to fraction form
    138,196/303,464 = 303,464/x
  3. Step 3: Cross multiply
    138,196x = 303,464 × 303,464
  4. Step 4: Simplify right side
    138,196x = 92,090,399,296
  5. Step 5: Solve for x
    x = 92,090,399,296/138,196
  6. Step 6: Final answer
    x = 666,375.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.