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Finding the Third Proportional to 197,578.50 and 305,643

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Solution

The third proportional to 197,578.50 and 305,643 is: 472,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,578.50 : 305,643 = 305,643 : x
  2. Step 2: Convert to fraction form
    197,578.50/305,643 = 305,643/x
  3. Step 3: Cross multiply
    197,578.50x = 305,643 × 305,643
  4. Step 4: Simplify right side
    197,578.50x = 93,417,643,449
  5. Step 5: Solve for x
    x = 93,417,643,449/197,578.50
  6. Step 6: Final answer
    x = 472,812.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.