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Finding the Third Proportional to 197,293.22 and 426,115.69

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Solution

The third proportional to 197,293.22 and 426,115.69 is: 920,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,293.22 : 426,115.69 = 426,115.69 : x
  2. Step 2: Convert to fraction form
    197,293.22/426,115.69 = 426,115.69/x
  3. Step 3: Cross multiply
    197,293.22x = 426,115.69 × 426,115.69
  4. Step 4: Simplify right side
    197,293.22x = 181,574,579,133.60
  5. Step 5: Solve for x
    x = 181,574,579,133.60/197,293.22
  6. Step 6: Final answer
    x = 920,328.54

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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.