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Finding the Third Proportional to 211,186.75 and 459,554

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Solution

The third proportional to 211,186.75 and 459,554 is: 1,000,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,186.75 : 459,554 = 459,554 : x
  2. Step 2: Convert to fraction form
    211,186.75/459,554 = 459,554/x
  3. Step 3: Cross multiply
    211,186.75x = 459,554 × 459,554
  4. Step 4: Simplify right side
    211,186.75x = 211,189,878,916
  5. Step 5: Solve for x
    x = 211,189,878,916/211,186.75
  6. Step 6: Final answer
    x = 1,000,014.82

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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.