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Finding the Third Proportional to 269,146 and 566,174

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Solution

The third proportional to 269,146 and 566,174 is: 1,191,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,146 : 566,174 = 566,174 : x
  2. Step 2: Convert to fraction form
    269,146/566,174 = 566,174/x
  3. Step 3: Cross multiply
    269,146x = 566,174 × 566,174
  4. Step 4: Simplify right side
    269,146x = 320,552,998,276
  5. Step 5: Solve for x
    x = 320,552,998,276/269,146
  6. Step 6: Final answer
    x = 1,191,000.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.