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Finding the Third Proportional to 117,814 and 245,562

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Solution

The third proportional to 117,814 and 245,562 is: 511,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,814 : 245,562 = 245,562 : x
  2. Step 2: Convert to fraction form
    117,814/245,562 = 245,562/x
  3. Step 3: Cross multiply
    117,814x = 245,562 × 245,562
  4. Step 4: Simplify right side
    117,814x = 60,300,695,844
  5. Step 5: Solve for x
    x = 60,300,695,844/117,814
  6. Step 6: Final answer
    x = 511,829.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.