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Finding the Third Proportional to 189,246 and 304,893

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Solution

The third proportional to 189,246 and 304,893 is: 491,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246 : 304,893 = 304,893 : x
  2. Step 2: Convert to fraction form
    189,246/304,893 = 304,893/x
  3. Step 3: Cross multiply
    189,246x = 304,893 × 304,893
  4. Step 4: Simplify right side
    189,246x = 92,959,741,449
  5. Step 5: Solve for x
    x = 92,959,741,449/189,246
  6. Step 6: Final answer
    x = 491,211.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.