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Finding the Third Proportional to 140,560 and 301,208

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Solution

The third proportional to 140,560 and 301,208 is: 645,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,560 : 301,208 = 301,208 : x
  2. Step 2: Convert to fraction form
    140,560/301,208 = 301,208/x
  3. Step 3: Cross multiply
    140,560x = 301,208 × 301,208
  4. Step 4: Simplify right side
    140,560x = 90,726,259,264
  5. Step 5: Solve for x
    x = 90,726,259,264/140,560
  6. Step 6: Final answer
    x = 645,462.86

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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.