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Finding the Third Proportional to 168,153 and 245,767

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Solution

The third proportional to 168,153 and 245,767 is: 359,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,153 : 245,767 = 245,767 : x
  2. Step 2: Convert to fraction form
    168,153/245,767 = 245,767/x
  3. Step 3: Cross multiply
    168,153x = 245,767 × 245,767
  4. Step 4: Simplify right side
    168,153x = 60,401,418,289
  5. Step 5: Solve for x
    x = 60,401,418,289/168,153
  6. Step 6: Final answer
    x = 359,205.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.