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Finding the Third Proportional to 147,800 and 316,616

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Solution

The third proportional to 147,800 and 316,616 is: 678,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,800 : 316,616 = 316,616 : x
  2. Step 2: Convert to fraction form
    147,800/316,616 = 316,616/x
  3. Step 3: Cross multiply
    147,800x = 316,616 × 316,616
  4. Step 4: Simplify right side
    147,800x = 100,245,691,456
  5. Step 5: Solve for x
    x = 100,245,691,456/147,800
  6. Step 6: Final answer
    x = 678,252.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.