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Finding the Third Proportional to 214,935.19 and 467,185.22

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Solution

The third proportional to 214,935.19 and 467,185.22 is: 1,015,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,935.19 : 467,185.22 = 467,185.22 : x
  2. Step 2: Convert to fraction form
    214,935.19/467,185.22 = 467,185.22/x
  3. Step 3: Cross multiply
    214,935.19x = 467,185.22 × 467,185.22
  4. Step 4: Simplify right side
    214,935.19x = 218,262,028,618.49
  5. Step 5: Solve for x
    x = 218,262,028,618.49/214,935.19
  6. Step 6: Final answer
    x = 1,015,478.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.