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Finding the Third Proportional to 140,119 and 210,321

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Solution

The third proportional to 140,119 and 210,321 is: 315,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,119 : 210,321 = 210,321 : x
  2. Step 2: Convert to fraction form
    140,119/210,321 = 210,321/x
  3. Step 3: Cross multiply
    140,119x = 210,321 × 210,321
  4. Step 4: Simplify right side
    140,119x = 44,234,923,041
  5. Step 5: Solve for x
    x = 44,234,923,041/140,119
  6. Step 6: Final answer
    x = 315,695.39

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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.