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Finding the Third Proportional to 113,302 and 248,970

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Solution

The third proportional to 113,302 and 248,970 is: 547,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,302 : 248,970 = 248,970 : x
  2. Step 2: Convert to fraction form
    113,302/248,970 = 248,970/x
  3. Step 3: Cross multiply
    113,302x = 248,970 × 248,970
  4. Step 4: Simplify right side
    113,302x = 61,986,060,900
  5. Step 5: Solve for x
    x = 61,986,060,900/113,302
  6. Step 6: Final answer
    x = 547,087.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.