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Finding the Third Proportional to 140,442 and 296,652

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Solution

The third proportional to 140,442 and 296,652 is: 626,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,442 : 296,652 = 296,652 : x
  2. Step 2: Convert to fraction form
    140,442/296,652 = 296,652/x
  3. Step 3: Cross multiply
    140,442x = 296,652 × 296,652
  4. Step 4: Simplify right side
    140,442x = 88,002,409,104
  5. Step 5: Solve for x
    x = 88,002,409,104/140,442
  6. Step 6: Final answer
    x = 626,610.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.