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Finding the Third Proportional to 167,670.50 and 253,673.50

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Solution

The third proportional to 167,670.50 and 253,673.50 is: 383,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,670.50 : 253,673.50 = 253,673.50 : x
  2. Step 2: Convert to fraction form
    167,670.50/253,673.50 = 253,673.50/x
  3. Step 3: Cross multiply
    167,670.50x = 253,673.50 × 253,673.50
  4. Step 4: Simplify right side
    167,670.50x = 64,350,244,602.25
  5. Step 5: Solve for x
    x = 64,350,244,602.25/167,670.50
  6. Step 6: Final answer
    x = 383,789.90

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