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Finding the Third Proportional to 168,748.31 and 237,335.06

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Solution

The third proportional to 168,748.31 and 237,335.06 is: 333,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,748.31 : 237,335.06 = 237,335.06 : x
  2. Step 2: Convert to fraction form
    168,748.31/237,335.06 = 237,335.06/x
  3. Step 3: Cross multiply
    168,748.31x = 237,335.06 × 237,335.06
  4. Step 4: Simplify right side
    168,748.31x = 56,327,931,891.88
  5. Step 5: Solve for x
    x = 56,327,931,891.88/168,748.31
  6. Step 6: Final answer
    x = 333,798.49

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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.