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Finding the Third Proportional to 156,400 and 304,976

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Solution

The third proportional to 156,400 and 304,976 is: 594,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,400 : 304,976 = 304,976 : x
  2. Step 2: Convert to fraction form
    156,400/304,976 = 304,976/x
  3. Step 3: Cross multiply
    156,400x = 304,976 × 304,976
  4. Step 4: Simplify right side
    156,400x = 93,010,360,576
  5. Step 5: Solve for x
    x = 93,010,360,576/156,400
  6. Step 6: Final answer
    x = 594,695.40

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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.