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Finding the Third Proportional to 168,786 and 237,378.50

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Solution

The third proportional to 168,786 and 237,378.50 is: 333,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,786 : 237,378.50 = 237,378.50 : x
  2. Step 2: Convert to fraction form
    168,786/237,378.50 = 237,378.50/x
  3. Step 3: Cross multiply
    168,786x = 237,378.50 × 237,378.50
  4. Step 4: Simplify right side
    168,786x = 56,348,552,262.25
  5. Step 5: Solve for x
    x = 56,348,552,262.25/168,786
  6. Step 6: Final answer
    x = 333,846.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.