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Finding the Third Proportional to 168,156 and 245,768

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Solution

The third proportional to 168,156 and 245,768 is: 359,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,156 : 245,768 = 245,768 : x
  2. Step 2: Convert to fraction form
    168,156/245,768 = 245,768/x
  3. Step 3: Cross multiply
    168,156x = 245,768 × 245,768
  4. Step 4: Simplify right side
    168,156x = 60,401,909,824
  5. Step 5: Solve for x
    x = 60,401,909,824/168,156
  6. Step 6: Final answer
    x = 359,201.63

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