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Finding the Third Proportional to 252,157 and 546,340

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Solution

The third proportional to 252,157 and 546,340 is: 1,183,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,157 : 546,340 = 546,340 : x
  2. Step 2: Convert to fraction form
    252,157/546,340 = 546,340/x
  3. Step 3: Cross multiply
    252,157x = 546,340 × 546,340
  4. Step 4: Simplify right side
    252,157x = 298,487,395,600
  5. Step 5: Solve for x
    x = 298,487,395,600/252,157
  6. Step 6: Final answer
    x = 1,183,736.31

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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.