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Finding the Third Proportional to 144,407 and 316,714

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Solution

The third proportional to 144,407 and 316,714 is: 694,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,407 : 316,714 = 316,714 : x
  2. Step 2: Convert to fraction form
    144,407/316,714 = 316,714/x
  3. Step 3: Cross multiply
    144,407x = 316,714 × 316,714
  4. Step 4: Simplify right side
    144,407x = 100,307,757,796
  5. Step 5: Solve for x
    x = 100,307,757,796/144,407
  6. Step 6: Final answer
    x = 694,618.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.