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Finding the Third Proportional to 160,714 and 349,456

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Solution

The third proportional to 160,714 and 349,456 is: 759,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,714 : 349,456 = 349,456 : x
  2. Step 2: Convert to fraction form
    160,714/349,456 = 349,456/x
  3. Step 3: Cross multiply
    160,714x = 349,456 × 349,456
  4. Step 4: Simplify right side
    160,714x = 122,119,495,936
  5. Step 5: Solve for x
    x = 122,119,495,936/160,714
  6. Step 6: Final answer
    x = 759,855.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.