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Finding the Third Proportional to 254,092.50 and 389,065.50

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Solution

The third proportional to 254,092.50 and 389,065.50 is: 595,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,092.50 : 389,065.50 = 389,065.50 : x
  2. Step 2: Convert to fraction form
    254,092.50/389,065.50 = 389,065.50/x
  3. Step 3: Cross multiply
    254,092.50x = 389,065.50 × 389,065.50
  4. Step 4: Simplify right side
    254,092.50x = 151,371,963,290.25
  5. Step 5: Solve for x
    x = 151,371,963,290.25/254,092.50
  6. Step 6: Final answer
    x = 595,735.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.