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Finding the Third Proportional to 210,198 and 461,275.50

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Solution

The third proportional to 210,198 and 461,275.50 is: 1,012,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198 : 461,275.50 = 461,275.50 : x
  2. Step 2: Convert to fraction form
    210,198/461,275.50 = 461,275.50/x
  3. Step 3: Cross multiply
    210,198x = 461,275.50 × 461,275.50
  4. Step 4: Simplify right side
    210,198x = 212,775,086,900.25
  5. Step 5: Solve for x
    x = 212,775,086,900.25/210,198
  6. Step 6: Final answer
    x = 1,012,260.28

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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.