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Finding the Third Proportional to 245,009.25 and 367,515

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Solution

The third proportional to 245,009.25 and 367,515 is: 551,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,009.25 : 367,515 = 367,515 : x
  2. Step 2: Convert to fraction form
    245,009.25/367,515 = 367,515/x
  3. Step 3: Cross multiply
    245,009.25x = 367,515 × 367,515
  4. Step 4: Simplify right side
    245,009.25x = 135,067,275,225
  5. Step 5: Solve for x
    x = 135,067,275,225/245,009.25
  6. Step 6: Final answer
    x = 551,274.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.