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Finding the Third Proportional to 113,181 and 245,827

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Solution

The third proportional to 113,181 and 245,827 is: 533,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,181 : 245,827 = 245,827 : x
  2. Step 2: Convert to fraction form
    113,181/245,827 = 245,827/x
  3. Step 3: Cross multiply
    113,181x = 245,827 × 245,827
  4. Step 4: Simplify right side
    113,181x = 60,430,913,929
  5. Step 5: Solve for x
    x = 60,430,913,929/113,181
  6. Step 6: Final answer
    x = 533,931.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.