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Finding the Third Proportional to 183,970.50 and 397,470

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Solution

The third proportional to 183,970.50 and 397,470 is: 858,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,970.50 : 397,470 = 397,470 : x
  2. Step 2: Convert to fraction form
    183,970.50/397,470 = 397,470/x
  3. Step 3: Cross multiply
    183,970.50x = 397,470 × 397,470
  4. Step 4: Simplify right side
    183,970.50x = 157,982,400,900
  5. Step 5: Solve for x
    x = 157,982,400,900/183,970.50
  6. Step 6: Final answer
    x = 858,737.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.