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Finding the Third Proportional to 235,406 and 302,253

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Solution

The third proportional to 235,406 and 302,253 is: 388,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,406 : 302,253 = 302,253 : x
  2. Step 2: Convert to fraction form
    235,406/302,253 = 302,253/x
  3. Step 3: Cross multiply
    235,406x = 302,253 × 302,253
  4. Step 4: Simplify right side
    235,406x = 91,356,876,009
  5. Step 5: Solve for x
    x = 91,356,876,009/235,406
  6. Step 6: Final answer
    x = 388,082.19

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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.