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Finding the Third Proportional to 137,168 and 330,417

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Solution

The third proportional to 137,168 and 330,417 is: 795,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,168 : 330,417 = 330,417 : x
  2. Step 2: Convert to fraction form
    137,168/330,417 = 330,417/x
  3. Step 3: Cross multiply
    137,168x = 330,417 × 330,417
  4. Step 4: Simplify right side
    137,168x = 109,175,393,889
  5. Step 5: Solve for x
    x = 109,175,393,889/137,168
  6. Step 6: Final answer
    x = 795,924.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.