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Finding the Third Proportional to 103,944 and 245,238

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Solution

The third proportional to 103,944 and 245,238 is: 578,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,944 : 245,238 = 245,238 : x
  2. Step 2: Convert to fraction form
    103,944/245,238 = 245,238/x
  3. Step 3: Cross multiply
    103,944x = 245,238 × 245,238
  4. Step 4: Simplify right side
    103,944x = 60,141,676,644
  5. Step 5: Solve for x
    x = 60,141,676,644/103,944
  6. Step 6: Final answer
    x = 578,596.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.