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Finding the Third Proportional to 194,710 and 284,406

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Solution

The third proportional to 194,710 and 284,406 is: 415,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710 : 284,406 = 284,406 : x
  2. Step 2: Convert to fraction form
    194,710/284,406 = 284,406/x
  3. Step 3: Cross multiply
    194,710x = 284,406 × 284,406
  4. Step 4: Simplify right side
    194,710x = 80,886,772,836
  5. Step 5: Solve for x
    x = 80,886,772,836/194,710
  6. Step 6: Final answer
    x = 415,421.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.