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Finding the Third Proportional to 131,724.42 and 310,850.02

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Solution

The third proportional to 131,724.42 and 310,850.02 is: 733,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724.42 : 310,850.02 = 310,850.02 : x
  2. Step 2: Convert to fraction form
    131,724.42/310,850.02 = 310,850.02/x
  3. Step 3: Cross multiply
    131,724.42x = 310,850.02 × 310,850.02
  4. Step 4: Simplify right side
    131,724.42x = 96,627,732,214.06
  5. Step 5: Solve for x
    x = 96,627,732,214.06/131,724.42
  6. Step 6: Final answer
    x = 733,559.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.