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Finding the Third Proportional to 194,907 and 293,643

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Solution

The third proportional to 194,907 and 293,643 is: 442,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,907 : 293,643 = 293,643 : x
  2. Step 2: Convert to fraction form
    194,907/293,643 = 293,643/x
  3. Step 3: Cross multiply
    194,907x = 293,643 × 293,643
  4. Step 4: Simplify right side
    194,907x = 86,226,211,449
  5. Step 5: Solve for x
    x = 86,226,211,449/194,907
  6. Step 6: Final answer
    x = 442,396.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.