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Finding the Third Proportional to 164,404.50 and 353,757

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Solution

The third proportional to 164,404.50 and 353,757 is: 761,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,404.50 : 353,757 = 353,757 : x
  2. Step 2: Convert to fraction form
    164,404.50/353,757 = 353,757/x
  3. Step 3: Cross multiply
    164,404.50x = 353,757 × 353,757
  4. Step 4: Simplify right side
    164,404.50x = 125,144,015,049
  5. Step 5: Solve for x
    x = 125,144,015,049/164,404.50
  6. Step 6: Final answer
    x = 761,195.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.