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Finding the Third Proportional to 197,557.50 and 313,832.25

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Solution

The third proportional to 197,557.50 and 313,832.25 is: 498,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,557.50 : 313,832.25 = 313,832.25 : x
  2. Step 2: Convert to fraction form
    197,557.50/313,832.25 = 313,832.25/x
  3. Step 3: Cross multiply
    197,557.50x = 313,832.25 × 313,832.25
  4. Step 4: Simplify right side
    197,557.50x = 98,490,681,140.06
  5. Step 5: Solve for x
    x = 98,490,681,140.06/197,557.50
  6. Step 6: Final answer
    x = 498,541.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.