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Finding the Third Proportional to 189,700 and 284,056

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Solution

The third proportional to 189,700 and 284,056 is: 425,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,700 : 284,056 = 284,056 : x
  2. Step 2: Convert to fraction form
    189,700/284,056 = 284,056/x
  3. Step 3: Cross multiply
    189,700x = 284,056 × 284,056
  4. Step 4: Simplify right side
    189,700x = 80,687,811,136
  5. Step 5: Solve for x
    x = 80,687,811,136/189,700
  6. Step 6: Final answer
    x = 425,344.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.