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Finding the Third Proportional to 144,714 and 310,192

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Solution

The third proportional to 144,714 and 310,192 is: 664,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,714 : 310,192 = 310,192 : x
  2. Step 2: Convert to fraction form
    144,714/310,192 = 310,192/x
  3. Step 3: Cross multiply
    144,714x = 310,192 × 310,192
  4. Step 4: Simplify right side
    144,714x = 96,219,076,864
  5. Step 5: Solve for x
    x = 96,219,076,864/144,714
  6. Step 6: Final answer
    x = 664,891.28

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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.