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Finding the Third Proportional to 201,236 and 302,358

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Solution

The third proportional to 201,236 and 302,358 is: 454,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,236 : 302,358 = 302,358 : x
  2. Step 2: Convert to fraction form
    201,236/302,358 = 302,358/x
  3. Step 3: Cross multiply
    201,236x = 302,358 × 302,358
  4. Step 4: Simplify right side
    201,236x = 91,420,360,164
  5. Step 5: Solve for x
    x = 91,420,360,164/201,236
  6. Step 6: Final answer
    x = 454,294.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.