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Finding the Third Proportional to 148,855.50 and 321,039

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Solution

The third proportional to 148,855.50 and 321,039 is: 692,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,855.50 : 321,039 = 321,039 : x
  2. Step 2: Convert to fraction form
    148,855.50/321,039 = 321,039/x
  3. Step 3: Cross multiply
    148,855.50x = 321,039 × 321,039
  4. Step 4: Simplify right side
    148,855.50x = 103,066,039,521
  5. Step 5: Solve for x
    x = 103,066,039,521/148,855.50
  6. Step 6: Final answer
    x = 692,389.86

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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.