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Finding the Third Proportional to 245,013 and 367,519.50

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Solution

The third proportional to 245,013 and 367,519.50 is: 551,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,013 : 367,519.50 = 367,519.50 : x
  2. Step 2: Convert to fraction form
    245,013/367,519.50 = 367,519.50/x
  3. Step 3: Cross multiply
    245,013x = 367,519.50 × 367,519.50
  4. Step 4: Simplify right side
    245,013x = 135,070,582,880.25
  5. Step 5: Solve for x
    x = 135,070,582,880.25/245,013
  6. Step 6: Final answer
    x = 551,279.25

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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.