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Finding the Third Proportional to 211,996.50 and 461,358

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Solution

The third proportional to 211,996.50 and 461,358 is: 1,004,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,996.50 : 461,358 = 461,358 : x
  2. Step 2: Convert to fraction form
    211,996.50/461,358 = 461,358/x
  3. Step 3: Cross multiply
    211,996.50x = 461,358 × 461,358
  4. Step 4: Simplify right side
    211,996.50x = 212,851,204,164
  5. Step 5: Solve for x
    x = 212,851,204,164/211,996.50
  6. Step 6: Final answer
    x = 1,004,031.69

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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.