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Finding the Third Proportional to 200,054 and 302,223

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Solution

The third proportional to 200,054 and 302,223 is: 456,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,054 : 302,223 = 302,223 : x
  2. Step 2: Convert to fraction form
    200,054/302,223 = 302,223/x
  3. Step 3: Cross multiply
    200,054x = 302,223 × 302,223
  4. Step 4: Simplify right side
    200,054x = 91,338,741,729
  5. Step 5: Solve for x
    x = 91,338,741,729/200,054
  6. Step 6: Final answer
    x = 456,570.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.