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Finding the Third Proportional to 202,084 and 299,473

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Solution

The third proportional to 202,084 and 299,473 is: 443,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084 : 299,473 = 299,473 : x
  2. Step 2: Convert to fraction form
    202,084/299,473 = 299,473/x
  3. Step 3: Cross multiply
    202,084x = 299,473 × 299,473
  4. Step 4: Simplify right side
    202,084x = 89,684,077,729
  5. Step 5: Solve for x
    x = 89,684,077,729/202,084
  6. Step 6: Final answer
    x = 443,796.03

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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.