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Finding the Third Proportional to 113,569 and 248,950

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Solution

The third proportional to 113,569 and 248,950 is: 545,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,569 : 248,950 = 248,950 : x
  2. Step 2: Convert to fraction form
    113,569/248,950 = 248,950/x
  3. Step 3: Cross multiply
    113,569x = 248,950 × 248,950
  4. Step 4: Simplify right side
    113,569x = 61,976,102,500
  5. Step 5: Solve for x
    x = 61,976,102,500/113,569
  6. Step 6: Final answer
    x = 545,713.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.