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Finding the Third Proportional to 201,078 and 294,850

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Solution

The third proportional to 201,078 and 294,850 is: 432,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,078 : 294,850 = 294,850 : x
  2. Step 2: Convert to fraction form
    201,078/294,850 = 294,850/x
  3. Step 3: Cross multiply
    201,078x = 294,850 × 294,850
  4. Step 4: Simplify right side
    201,078x = 86,936,522,500
  5. Step 5: Solve for x
    x = 86,936,522,500/201,078
  6. Step 6: Final answer
    x = 432,352.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.