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Finding the Third Proportional to 201,753 and 436,904

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Solution

The third proportional to 201,753 and 436,904 is: 946,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753 : 436,904 = 436,904 : x
  2. Step 2: Convert to fraction form
    201,753/436,904 = 436,904/x
  3. Step 3: Cross multiply
    201,753x = 436,904 × 436,904
  4. Step 4: Simplify right side
    201,753x = 190,885,105,216
  5. Step 5: Solve for x
    x = 190,885,105,216/201,753
  6. Step 6: Final answer
    x = 946,132.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.