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Finding the Third Proportional to 138,562 and 296,077

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Solution

The third proportional to 138,562 and 296,077 is: 632,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562 : 296,077 = 296,077 : x
  2. Step 2: Convert to fraction form
    138,562/296,077 = 296,077/x
  3. Step 3: Cross multiply
    138,562x = 296,077 × 296,077
  4. Step 4: Simplify right side
    138,562x = 87,661,589,929
  5. Step 5: Solve for x
    x = 87,661,589,929/138,562
  6. Step 6: Final answer
    x = 632,652.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.