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Finding the Third Proportional to 140,310 and 300,564

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Solution

The third proportional to 140,310 and 300,564 is: 643,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,310 : 300,564 = 300,564 : x
  2. Step 2: Convert to fraction form
    140,310/300,564 = 300,564/x
  3. Step 3: Cross multiply
    140,310x = 300,564 × 300,564
  4. Step 4: Simplify right side
    140,310x = 90,338,718,096
  5. Step 5: Solve for x
    x = 90,338,718,096/140,310
  6. Step 6: Final answer
    x = 643,850.89

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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.