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Finding the Third Proportional to 140,884 and 208,998

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Solution

The third proportional to 140,884 and 208,998 is: 310,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,884 : 208,998 = 208,998 : x
  2. Step 2: Convert to fraction form
    140,884/208,998 = 208,998/x
  3. Step 3: Cross multiply
    140,884x = 208,998 × 208,998
  4. Step 4: Simplify right side
    140,884x = 43,680,164,004
  5. Step 5: Solve for x
    x = 43,680,164,004/140,884
  6. Step 6: Final answer
    x = 310,043.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.