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Finding the Third Proportional to 145,831 and 208,536

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Solution

The third proportional to 145,831 and 208,536 is: 298,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,831 : 208,536 = 208,536 : x
  2. Step 2: Convert to fraction form
    145,831/208,536 = 208,536/x
  3. Step 3: Cross multiply
    145,831x = 208,536 × 208,536
  4. Step 4: Simplify right side
    145,831x = 43,487,263,296
  5. Step 5: Solve for x
    x = 43,487,263,296/145,831
  6. Step 6: Final answer
    x = 298,203.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.