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Finding the Third Proportional to 168,371 and 261,410.50

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Solution

The third proportional to 168,371 and 261,410.50 is: 405,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,371 : 261,410.50 = 261,410.50 : x
  2. Step 2: Convert to fraction form
    168,371/261,410.50 = 261,410.50/x
  3. Step 3: Cross multiply
    168,371x = 261,410.50 × 261,410.50
  4. Step 4: Simplify right side
    168,371x = 68,335,449,510.25
  5. Step 5: Solve for x
    x = 68,335,449,510.25/168,371
  6. Step 6: Final answer
    x = 405,862.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.