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Finding the Third Proportional to 168,168 and 245,778

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Solution

The third proportional to 168,168 and 245,778 is: 359,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,168 : 245,778 = 245,778 : x
  2. Step 2: Convert to fraction form
    168,168/245,778 = 245,778/x
  3. Step 3: Cross multiply
    168,168x = 245,778 × 245,778
  4. Step 4: Simplify right side
    168,168x = 60,406,825,284
  5. Step 5: Solve for x
    x = 60,406,825,284/168,168
  6. Step 6: Final answer
    x = 359,205.23

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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.