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Finding the Third Proportional to 140,292 and 298,106

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Solution

The third proportional to 140,292 and 298,106 is: 633,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,292 : 298,106 = 298,106 : x
  2. Step 2: Convert to fraction form
    140,292/298,106 = 298,106/x
  3. Step 3: Cross multiply
    140,292x = 298,106 × 298,106
  4. Step 4: Simplify right side
    140,292x = 88,867,187,236
  5. Step 5: Solve for x
    x = 88,867,187,236/140,292
  6. Step 6: Final answer
    x = 633,444.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.