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Finding the Third Proportional to 197,290.50 and 434,797.50

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Solution

The third proportional to 197,290.50 and 434,797.50 is: 958,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,290.50 : 434,797.50 = 434,797.50 : x
  2. Step 2: Convert to fraction form
    197,290.50/434,797.50 = 434,797.50/x
  3. Step 3: Cross multiply
    197,290.50x = 434,797.50 × 434,797.50
  4. Step 4: Simplify right side
    197,290.50x = 189,048,866,006.25
  5. Step 5: Solve for x
    x = 189,048,866,006.25/197,290.50
  6. Step 6: Final answer
    x = 958,225.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.