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Finding the Third Proportional to 156,361 and 304,946

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Solution

The third proportional to 156,361 and 304,946 is: 594,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,361 : 304,946 = 304,946 : x
  2. Step 2: Convert to fraction form
    156,361/304,946 = 304,946/x
  3. Step 3: Cross multiply
    156,361x = 304,946 × 304,946
  4. Step 4: Simplify right side
    156,361x = 92,992,062,916
  5. Step 5: Solve for x
    x = 92,992,062,916/156,361
  6. Step 6: Final answer
    x = 594,726.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.