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Finding the Third Proportional to 197,287 and 434,790.25

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Solution

The third proportional to 197,287 and 434,790.25 is: 958,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,287 : 434,790.25 = 434,790.25 : x
  2. Step 2: Convert to fraction form
    197,287/434,790.25 = 434,790.25/x
  3. Step 3: Cross multiply
    197,287x = 434,790.25 × 434,790.25
  4. Step 4: Simplify right side
    197,287x = 189,042,561,495.06
  5. Step 5: Solve for x
    x = 189,042,561,495.06/197,287
  6. Step 6: Final answer
    x = 958,210.94

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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.