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Finding the Third Proportional to 252,161 and 546,348

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Solution

The third proportional to 252,161 and 546,348 is: 1,183,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,161 : 546,348 = 546,348 : x
  2. Step 2: Convert to fraction form
    252,161/546,348 = 546,348/x
  3. Step 3: Cross multiply
    252,161x = 546,348 × 546,348
  4. Step 4: Simplify right side
    252,161x = 298,496,137,104
  5. Step 5: Solve for x
    x = 298,496,137,104/252,161
  6. Step 6: Final answer
    x = 1,183,752.19

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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.