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Finding the Third Proportional to 198,041.63 and 427,647.94

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Solution

The third proportional to 198,041.63 and 427,647.94 is: 923,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,041.63 : 427,647.94 = 427,647.94 : x
  2. Step 2: Convert to fraction form
    198,041.63/427,647.94 = 427,647.94/x
  3. Step 3: Cross multiply
    198,041.63x = 427,647.94 × 427,647.94
  4. Step 4: Simplify right side
    198,041.63x = 182,882,758,448.00
  5. Step 5: Solve for x
    x = 182,882,758,448.00/198,041.63
  6. Step 6: Final answer
    x = 923,456.16

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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.