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Finding the Third Proportional to 202,001 and 299,097

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Solution

The third proportional to 202,001 and 299,097 is: 442,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001 : 299,097 = 299,097 : x
  2. Step 2: Convert to fraction form
    202,001/299,097 = 299,097/x
  3. Step 3: Cross multiply
    202,001x = 299,097 × 299,097
  4. Step 4: Simplify right side
    202,001x = 89,459,015,409
  5. Step 5: Solve for x
    x = 89,459,015,409/202,001
  6. Step 6: Final answer
    x = 442,864.22

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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.