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Finding the Third Proportional to 214,091 and 301,221

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Solution

The third proportional to 214,091 and 301,221 is: 423,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,091 : 301,221 = 301,221 : x
  2. Step 2: Convert to fraction form
    214,091/301,221 = 301,221/x
  3. Step 3: Cross multiply
    214,091x = 301,221 × 301,221
  4. Step 4: Simplify right side
    214,091x = 90,734,090,841
  5. Step 5: Solve for x
    x = 90,734,090,841/214,091
  6. Step 6: Final answer
    x = 423,810.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.