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Finding the Third Proportional to 223,322 and 303,255

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Solution

The third proportional to 223,322 and 303,255 is: 411,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,322 : 303,255 = 303,255 : x
  2. Step 2: Convert to fraction form
    223,322/303,255 = 303,255/x
  3. Step 3: Cross multiply
    223,322x = 303,255 × 303,255
  4. Step 4: Simplify right side
    223,322x = 91,963,595,025
  5. Step 5: Solve for x
    x = 91,963,595,025/223,322
  6. Step 6: Final answer
    x = 411,798.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.