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Finding the Third Proportional to 202,002 and 299,094

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Solution

The third proportional to 202,002 and 299,094 is: 442,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002 : 299,094 = 299,094 : x
  2. Step 2: Convert to fraction form
    202,002/299,094 = 299,094/x
  3. Step 3: Cross multiply
    202,002x = 299,094 × 299,094
  4. Step 4: Simplify right side
    202,002x = 89,457,220,836
  5. Step 5: Solve for x
    x = 89,457,220,836/202,002
  6. Step 6: Final answer
    x = 442,853.14

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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.