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Finding the Third Proportional to 140,266.69 and 210,367.13

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Solution

The third proportional to 140,266.69 and 210,367.13 is: 315,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,266.69 : 210,367.13 = 210,367.13 : x
  2. Step 2: Convert to fraction form
    140,266.69/210,367.13 = 210,367.13/x
  3. Step 3: Cross multiply
    140,266.69x = 210,367.13 × 210,367.13
  4. Step 4: Simplify right side
    140,266.69x = 44,254,327,280.77
  5. Step 5: Solve for x
    x = 44,254,327,280.77/140,266.69
  6. Step 6: Final answer
    x = 315,501.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.