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Finding the Third Proportional to 199,775 and 436,365

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Solution

The third proportional to 199,775 and 436,365 is: 953,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,775 : 436,365 = 436,365 : x
  2. Step 2: Convert to fraction form
    199,775/436,365 = 436,365/x
  3. Step 3: Cross multiply
    199,775x = 436,365 × 436,365
  4. Step 4: Simplify right side
    199,775x = 190,414,413,225
  5. Step 5: Solve for x
    x = 190,414,413,225/199,775
  6. Step 6: Final answer
    x = 953,144.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.