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Finding the Third Proportional to 197,309.25 and 426,146.06

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Solution

The third proportional to 197,309.25 and 426,146.06 is: 920,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,309.25 : 426,146.06 = 426,146.06 : x
  2. Step 2: Convert to fraction form
    197,309.25/426,146.06 = 426,146.06/x
  3. Step 3: Cross multiply
    197,309.25x = 426,146.06 × 426,146.06
  4. Step 4: Simplify right side
    197,309.25x = 181,600,466,584.25
  5. Step 5: Solve for x
    x = 181,600,466,584.25/197,309.25
  6. Step 6: Final answer
    x = 920,384.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.