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Finding the Third Proportional to 194,840 and 260,544

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Solution

The third proportional to 194,840 and 260,544 is: 348,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,840 : 260,544 = 260,544 : x
  2. Step 2: Convert to fraction form
    194,840/260,544 = 260,544/x
  3. Step 3: Cross multiply
    194,840x = 260,544 × 260,544
  4. Step 4: Simplify right side
    194,840x = 67,883,175,936
  5. Step 5: Solve for x
    x = 67,883,175,936/194,840
  6. Step 6: Final answer
    x = 348,404.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.