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Finding the Third Proportional to 202,215 and 301,376

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Solution

The third proportional to 202,215 and 301,376 is: 449,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215 : 301,376 = 301,376 : x
  2. Step 2: Convert to fraction form
    202,215/301,376 = 301,376/x
  3. Step 3: Cross multiply
    202,215x = 301,376 × 301,376
  4. Step 4: Simplify right side
    202,215x = 90,827,493,376
  5. Step 5: Solve for x
    x = 90,827,493,376/202,215
  6. Step 6: Final answer
    x = 449,162.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.