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Finding the Third Proportional to 157,983.75 and 238,676.63

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Solution

The third proportional to 157,983.75 and 238,676.63 is: 360,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,983.75 : 238,676.63 = 238,676.63 : x
  2. Step 2: Convert to fraction form
    157,983.75/238,676.63 = 238,676.63/x
  3. Step 3: Cross multiply
    157,983.75x = 238,676.63 × 238,676.63
  4. Step 4: Simplify right side
    157,983.75x = 56,966,531,321.39
  5. Step 5: Solve for x
    x = 56,966,531,321.39/157,983.75
  6. Step 6: Final answer
    x = 360,584.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.