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Finding the Third Proportional to 74,404.50 and 175,608

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Solution

The third proportional to 74,404.50 and 175,608 is: 414,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,404.50 : 175,608 = 175,608 : x
  2. Step 2: Convert to fraction form
    74,404.50/175,608 = 175,608/x
  3. Step 3: Cross multiply
    74,404.50x = 175,608 × 175,608
  4. Step 4: Simplify right side
    74,404.50x = 30,838,169,664
  5. Step 5: Solve for x
    x = 30,838,169,664/74,404.50
  6. Step 6: Final answer
    x = 414,466.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.