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Finding the Third Proportional to 155,283.75 and 334,324.13

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Solution

The third proportional to 155,283.75 and 334,324.13 is: 719,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,283.75 : 334,324.13 = 334,324.13 : x
  2. Step 2: Convert to fraction form
    155,283.75/334,324.13 = 334,324.13/x
  3. Step 3: Cross multiply
    155,283.75x = 334,324.13 × 334,324.13
  4. Step 4: Simplify right side
    155,283.75x = 111,772,620,557.02
  5. Step 5: Solve for x
    x = 111,772,620,557.02/155,283.75
  6. Step 6: Final answer
    x = 719,795.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.