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Finding the Third Proportional to 189,222 and 284,623.50

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Solution

The third proportional to 189,222 and 284,623.50 is: 428,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,222 : 284,623.50 = 284,623.50 : x
  2. Step 2: Convert to fraction form
    189,222/284,623.50 = 284,623.50/x
  3. Step 3: Cross multiply
    189,222x = 284,623.50 × 284,623.50
  4. Step 4: Simplify right side
    189,222x = 81,010,536,752.25
  5. Step 5: Solve for x
    x = 81,010,536,752.25/189,222
  6. Step 6: Final answer
    x = 428,124.30

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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.