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Finding the Third Proportional to 114,905 and 248,257

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Solution

The third proportional to 114,905 and 248,257 is: 536,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,905 : 248,257 = 248,257 : x
  2. Step 2: Convert to fraction form
    114,905/248,257 = 248,257/x
  3. Step 3: Cross multiply
    114,905x = 248,257 × 248,257
  4. Step 4: Simplify right side
    114,905x = 61,631,538,049
  5. Step 5: Solve for x
    x = 61,631,538,049/114,905
  6. Step 6: Final answer
    x = 536,369.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.