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Finding the Third Proportional to 144,314 and 210,884

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Solution

The third proportional to 144,314 and 210,884 is: 308,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,314 : 210,884 = 210,884 : x
  2. Step 2: Convert to fraction form
    144,314/210,884 = 210,884/x
  3. Step 3: Cross multiply
    144,314x = 210,884 × 210,884
  4. Step 4: Simplify right side
    144,314x = 44,472,061,456
  5. Step 5: Solve for x
    x = 44,472,061,456/144,314
  6. Step 6: Final answer
    x = 308,161.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.