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Finding the Third Proportional to 94,240 and 201,554

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Solution

The third proportional to 94,240 and 201,554 is: 431,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,240 : 201,554 = 201,554 : x
  2. Step 2: Convert to fraction form
    94,240/201,554 = 201,554/x
  3. Step 3: Cross multiply
    94,240x = 201,554 × 201,554
  4. Step 4: Simplify right side
    94,240x = 40,624,014,916
  5. Step 5: Solve for x
    x = 40,624,014,916/94,240
  6. Step 6: Final answer
    x = 431,069.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.