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Finding the Third Proportional to 233,619.19 and 365,998.50

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Solution

The third proportional to 233,619.19 and 365,998.50 is: 573,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,619.19 : 365,998.50 = 365,998.50 : x
  2. Step 2: Convert to fraction form
    233,619.19/365,998.50 = 365,998.50/x
  3. Step 3: Cross multiply
    233,619.19x = 365,998.50 × 365,998.50
  4. Step 4: Simplify right side
    233,619.19x = 133,954,902,002.25
  5. Step 5: Solve for x
    x = 133,954,902,002.25/233,619.19
  6. Step 6: Final answer
    x = 573,389.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.