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Finding the Third Proportional to 252,165 and 546,355

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Solution

The third proportional to 252,165 and 546,355 is: 1,183,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,165 : 546,355 = 546,355 : x
  2. Step 2: Convert to fraction form
    252,165/546,355 = 546,355/x
  3. Step 3: Cross multiply
    252,165x = 546,355 × 546,355
  4. Step 4: Simplify right side
    252,165x = 298,503,786,025
  5. Step 5: Solve for x
    x = 298,503,786,025/252,165
  6. Step 6: Final answer
    x = 1,183,763.75

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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.