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Finding the Third Proportional to 140,516 and 300,706

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Solution

The third proportional to 140,516 and 300,706 is: 643,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,516 : 300,706 = 300,706 : x
  2. Step 2: Convert to fraction form
    140,516/300,706 = 300,706/x
  3. Step 3: Cross multiply
    140,516x = 300,706 × 300,706
  4. Step 4: Simplify right side
    140,516x = 90,424,098,436
  5. Step 5: Solve for x
    x = 90,424,098,436/140,516
  6. Step 6: Final answer
    x = 643,514.61

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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.