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Finding the Third Proportional to 201,997 and 299,091

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Solution

The third proportional to 201,997 and 299,091 is: 442,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,997 : 299,091 = 299,091 : x
  2. Step 2: Convert to fraction form
    201,997/299,091 = 299,091/x
  3. Step 3: Cross multiply
    201,997x = 299,091 × 299,091
  4. Step 4: Simplify right side
    201,997x = 89,455,426,281
  5. Step 5: Solve for x
    x = 89,455,426,281/201,997
  6. Step 6: Final answer
    x = 442,855.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.