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Finding the Third Proportional to 201,901 and 294,088

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Solution

The third proportional to 201,901 and 294,088 is: 428,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,901 : 294,088 = 294,088 : x
  2. Step 2: Convert to fraction form
    201,901/294,088 = 294,088/x
  3. Step 3: Cross multiply
    201,901x = 294,088 × 294,088
  4. Step 4: Simplify right side
    201,901x = 86,487,751,744
  5. Step 5: Solve for x
    x = 86,487,751,744/201,901
  6. Step 6: Final answer
    x = 428,367.13

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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.