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Finding the Third Proportional to 218,181 and 456,222

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Solution

The third proportional to 218,181 and 456,222 is: 953,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,181 : 456,222 = 456,222 : x
  2. Step 2: Convert to fraction form
    218,181/456,222 = 456,222/x
  3. Step 3: Cross multiply
    218,181x = 456,222 × 456,222
  4. Step 4: Simplify right side
    218,181x = 208,138,513,284
  5. Step 5: Solve for x
    x = 208,138,513,284/218,181
  6. Step 6: Final answer
    x = 953,971.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.