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Finding the Third Proportional to 114,144 and 245,856

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Solution

The third proportional to 114,144 and 245,856 is: 529,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,144 : 245,856 = 245,856 : x
  2. Step 2: Convert to fraction form
    114,144/245,856 = 245,856/x
  3. Step 3: Cross multiply
    114,144x = 245,856 × 245,856
  4. Step 4: Simplify right side
    114,144x = 60,445,172,736
  5. Step 5: Solve for x
    x = 60,445,172,736/114,144
  6. Step 6: Final answer
    x = 529,551.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.