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Finding the Third Proportional to 175,513.50 and 384,924

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Solution

The third proportional to 175,513.50 and 384,924 is: 844,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513.50 : 384,924 = 384,924 : x
  2. Step 2: Convert to fraction form
    175,513.50/384,924 = 384,924/x
  3. Step 3: Cross multiply
    175,513.50x = 384,924 × 384,924
  4. Step 4: Simplify right side
    175,513.50x = 148,166,485,776
  5. Step 5: Solve for x
    x = 148,166,485,776/175,513.50
  6. Step 6: Final answer
    x = 844,188.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.