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Finding the Third Proportional to 235,422 and 302,277

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Solution

The third proportional to 235,422 and 302,277 is: 388,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,422 : 302,277 = 302,277 : x
  2. Step 2: Convert to fraction form
    235,422/302,277 = 302,277/x
  3. Step 3: Cross multiply
    235,422x = 302,277 × 302,277
  4. Step 4: Simplify right side
    235,422x = 91,371,384,729
  5. Step 5: Solve for x
    x = 91,371,384,729/235,422
  6. Step 6: Final answer
    x = 388,117.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.