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Finding the Third Proportional to 197,176.50 and 430,834.50

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Solution

The third proportional to 197,176.50 and 430,834.50 is: 941,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,176.50 : 430,834.50 = 430,834.50 : x
  2. Step 2: Convert to fraction form
    197,176.50/430,834.50 = 430,834.50/x
  3. Step 3: Cross multiply
    197,176.50x = 430,834.50 × 430,834.50
  4. Step 4: Simplify right side
    197,176.50x = 185,618,366,390.25
  5. Step 5: Solve for x
    x = 185,618,366,390.25/197,176.50
  6. Step 6: Final answer
    x = 941,381.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.