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Finding the Third Proportional to 193,037 and 293,491

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Solution

The third proportional to 193,037 and 293,491 is: 446,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,037 : 293,491 = 293,491 : x
  2. Step 2: Convert to fraction form
    193,037/293,491 = 293,491/x
  3. Step 3: Cross multiply
    193,037x = 293,491 × 293,491
  4. Step 4: Simplify right side
    193,037x = 86,136,967,081
  5. Step 5: Solve for x
    x = 86,136,967,081/193,037
  6. Step 6: Final answer
    x = 446,219.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.