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Finding the Third Proportional to 210,195.50 and 461,269

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Solution

The third proportional to 210,195.50 and 461,269 is: 1,012,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,195.50 : 461,269 = 461,269 : x
  2. Step 2: Convert to fraction form
    210,195.50/461,269 = 461,269/x
  3. Step 3: Cross multiply
    210,195.50x = 461,269 × 461,269
  4. Step 4: Simplify right side
    210,195.50x = 212,769,090,361
  5. Step 5: Solve for x
    x = 212,769,090,361/210,195.50
  6. Step 6: Final answer
    x = 1,012,243.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.