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Finding the Third Proportional to 138,146 and 208,299

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Solution

The third proportional to 138,146 and 208,299 is: 314,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146 : 208,299 = 208,299 : x
  2. Step 2: Convert to fraction form
    138,146/208,299 = 208,299/x
  3. Step 3: Cross multiply
    138,146x = 208,299 × 208,299
  4. Step 4: Simplify right side
    138,146x = 43,388,473,401
  5. Step 5: Solve for x
    x = 43,388,473,401/138,146
  6. Step 6: Final answer
    x = 314,076.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.