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Finding the Third Proportional to 252,261 and 368,676.75

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Solution

The third proportional to 252,261 and 368,676.75 is: 538,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,261 : 368,676.75 = 368,676.75 : x
  2. Step 2: Convert to fraction form
    252,261/368,676.75 = 368,676.75/x
  3. Step 3: Cross multiply
    252,261x = 368,676.75 × 368,676.75
  4. Step 4: Simplify right side
    252,261x = 135,922,545,990.56
  5. Step 5: Solve for x
    x = 135,922,545,990.56/252,261
  6. Step 6: Final answer
    x = 538,817.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.