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Finding the Third Proportional to 167,535 and 361,311

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Solution

The third proportional to 167,535 and 361,311 is: 779,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,535 : 361,311 = 361,311 : x
  2. Step 2: Convert to fraction form
    167,535/361,311 = 361,311/x
  3. Step 3: Cross multiply
    167,535x = 361,311 × 361,311
  4. Step 4: Simplify right side
    167,535x = 130,545,638,721
  5. Step 5: Solve for x
    x = 130,545,638,721/167,535
  6. Step 6: Final answer
    x = 779,214.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.