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Finding the Third Proportional to 106,642 and 246,878

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Solution

The third proportional to 106,642 and 246,878 is: 571,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,642 : 246,878 = 246,878 : x
  2. Step 2: Convert to fraction form
    106,642/246,878 = 246,878/x
  3. Step 3: Cross multiply
    106,642x = 246,878 × 246,878
  4. Step 4: Simplify right side
    106,642x = 60,948,746,884
  5. Step 5: Solve for x
    x = 60,948,746,884/106,642
  6. Step 6: Final answer
    x = 571,526.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.