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Finding the Third Proportional to 155,746 and 327,044

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Solution

The third proportional to 155,746 and 327,044 is: 686,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,746 : 327,044 = 327,044 : x
  2. Step 2: Convert to fraction form
    155,746/327,044 = 327,044/x
  3. Step 3: Cross multiply
    155,746x = 327,044 × 327,044
  4. Step 4: Simplify right side
    155,746x = 106,957,777,936
  5. Step 5: Solve for x
    x = 106,957,777,936/155,746
  6. Step 6: Final answer
    x = 686,744.94

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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.