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Finding the Third Proportional to 156,380 and 304,982

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Solution

The third proportional to 156,380 and 304,982 is: 594,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,380 : 304,982 = 304,982 : x
  2. Step 2: Convert to fraction form
    156,380/304,982 = 304,982/x
  3. Step 3: Cross multiply
    156,380x = 304,982 × 304,982
  4. Step 4: Simplify right side
    156,380x = 93,014,020,324
  5. Step 5: Solve for x
    x = 93,014,020,324/156,380
  6. Step 6: Final answer
    x = 594,794.86

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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.