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Finding the Third Proportional to 189,684 and 284,040

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Solution

The third proportional to 189,684 and 284,040 is: 425,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,684 : 284,040 = 284,040 : x
  2. Step 2: Convert to fraction form
    189,684/284,040 = 284,040/x
  3. Step 3: Cross multiply
    189,684x = 284,040 × 284,040
  4. Step 4: Simplify right side
    189,684x = 80,678,721,600
  5. Step 5: Solve for x
    x = 80,678,721,600/189,684
  6. Step 6: Final answer
    x = 425,332.25

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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.