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Finding the Third Proportional to 167,671.50 and 253,671.75

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Solution

The third proportional to 167,671.50 and 253,671.75 is: 383,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,671.50 : 253,671.75 = 253,671.75 : x
  2. Step 2: Convert to fraction form
    167,671.50/253,671.75 = 253,671.75/x
  3. Step 3: Cross multiply
    167,671.50x = 253,671.75 × 253,671.75
  4. Step 4: Simplify right side
    167,671.50x = 64,349,356,748.06
  5. Step 5: Solve for x
    x = 64,349,356,748.06/167,671.50
  6. Step 6: Final answer
    x = 383,782.32

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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.