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Finding the Third Proportional to 197,440.81 and 426,403.19

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Solution

The third proportional to 197,440.81 and 426,403.19 is: 920,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,440.81 : 426,403.19 = 426,403.19 : x
  2. Step 2: Convert to fraction form
    197,440.81/426,403.19 = 426,403.19/x
  3. Step 3: Cross multiply
    197,440.81x = 426,403.19 × 426,403.19
  4. Step 4: Simplify right side
    197,440.81x = 181,819,678,310.16
  5. Step 5: Solve for x
    x = 181,819,678,310.16/197,440.81
  6. Step 6: Final answer
    x = 920,881.94

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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.