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Finding the Third Proportional to 160,969 and 349,714

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Solution

The third proportional to 160,969 and 349,714 is: 759,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,969 : 349,714 = 349,714 : x
  2. Step 2: Convert to fraction form
    160,969/349,714 = 349,714/x
  3. Step 3: Cross multiply
    160,969x = 349,714 × 349,714
  4. Step 4: Simplify right side
    160,969x = 122,299,881,796
  5. Step 5: Solve for x
    x = 122,299,881,796/160,969
  6. Step 6: Final answer
    x = 759,772.89

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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.