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Finding the Third Proportional to 197,403.75 and 317,908.50

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Solution

The third proportional to 197,403.75 and 317,908.50 is: 511,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,403.75 : 317,908.50 = 317,908.50 : x
  2. Step 2: Convert to fraction form
    197,403.75/317,908.50 = 317,908.50/x
  3. Step 3: Cross multiply
    197,403.75x = 317,908.50 × 317,908.50
  4. Step 4: Simplify right side
    197,403.75x = 101,065,814,372.25
  5. Step 5: Solve for x
    x = 101,065,814,372.25/197,403.75
  6. Step 6: Final answer
    x = 511,975.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.