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Finding the Third Proportional to 201,895.03 and 294,078.94

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Solution

The third proportional to 201,895.03 and 294,078.94 is: 428,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,895.03 : 294,078.94 = 294,078.94 : x
  2. Step 2: Convert to fraction form
    201,895.03/294,078.94 = 294,078.94/x
  3. Step 3: Cross multiply
    201,895.03x = 294,078.94 × 294,078.94
  4. Step 4: Simplify right side
    201,895.03x = 86,482,421,481.13
  5. Step 5: Solve for x
    x = 86,482,421,481.13/201,895.03
  6. Step 6: Final answer
    x = 428,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.