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Finding the Third Proportional to 114,774 and 248,606

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Solution

The third proportional to 114,774 and 248,606 is: 538,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,774 : 248,606 = 248,606 : x
  2. Step 2: Convert to fraction form
    114,774/248,606 = 248,606/x
  3. Step 3: Cross multiply
    114,774x = 248,606 × 248,606
  4. Step 4: Simplify right side
    114,774x = 61,804,943,236
  5. Step 5: Solve for x
    x = 61,804,943,236/114,774
  6. Step 6: Final answer
    x = 538,492.54

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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.