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Finding the Third Proportional to 203,751 and 445,365

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Solution

The third proportional to 203,751 and 445,365 is: 973,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,751 : 445,365 = 445,365 : x
  2. Step 2: Convert to fraction form
    203,751/445,365 = 445,365/x
  3. Step 3: Cross multiply
    203,751x = 445,365 × 445,365
  4. Step 4: Simplify right side
    203,751x = 198,349,983,225
  5. Step 5: Solve for x
    x = 198,349,983,225/203,751
  6. Step 6: Final answer
    x = 973,492.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.