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Finding the Third Proportional to 210,367.50 and 459,285

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Solution

The third proportional to 210,367.50 and 459,285 is: 1,002,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,367.50 : 459,285 = 459,285 : x
  2. Step 2: Convert to fraction form
    210,367.50/459,285 = 459,285/x
  3. Step 3: Cross multiply
    210,367.50x = 459,285 × 459,285
  4. Step 4: Simplify right side
    210,367.50x = 210,942,711,225
  5. Step 5: Solve for x
    x = 210,942,711,225/210,367.50
  6. Step 6: Final answer
    x = 1,002,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.