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Finding the Third Proportional to 210,186 and 461,250

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Solution

The third proportional to 210,186 and 461,250 is: 1,012,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,186 : 461,250 = 461,250 : x
  2. Step 2: Convert to fraction form
    210,186/461,250 = 461,250/x
  3. Step 3: Cross multiply
    210,186x = 461,250 × 461,250
  4. Step 4: Simplify right side
    210,186x = 212,751,562,500
  5. Step 5: Solve for x
    x = 212,751,562,500/210,186
  6. Step 6: Final answer
    x = 1,012,206.15

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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.