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Finding the Third Proportional to 201,048.98 and 442,578.82

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Solution

The third proportional to 201,048.98 and 442,578.82 is: 974,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,048.98 : 442,578.82 = 442,578.82 : x
  2. Step 2: Convert to fraction form
    201,048.98/442,578.82 = 442,578.82/x
  3. Step 3: Cross multiply
    201,048.98x = 442,578.82 × 442,578.82
  4. Step 4: Simplify right side
    201,048.98x = 195,876,010,892.59
  5. Step 5: Solve for x
    x = 195,876,010,892.59/201,048.98
  6. Step 6: Final answer
    x = 974,270.10

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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.