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Finding the Third Proportional to 222,277 and 460,106

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Solution

The third proportional to 222,277 and 460,106 is: 952,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,277 : 460,106 = 460,106 : x
  2. Step 2: Convert to fraction form
    222,277/460,106 = 460,106/x
  3. Step 3: Cross multiply
    222,277x = 460,106 × 460,106
  4. Step 4: Simplify right side
    222,277x = 211,697,531,236
  5. Step 5: Solve for x
    x = 211,697,531,236/222,277
  6. Step 6: Final answer
    x = 952,404.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.