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Finding the Third Proportional to 248,968.69 and 534,210.19

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Solution

The third proportional to 248,968.69 and 534,210.19 is: 1,146,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,968.69 : 534,210.19 = 534,210.19 : x
  2. Step 2: Convert to fraction form
    248,968.69/534,210.19 = 534,210.19/x
  3. Step 3: Cross multiply
    248,968.69x = 534,210.19 × 534,210.19
  4. Step 4: Simplify right side
    248,968.69x = 285,380,524,428.79
  5. Step 5: Solve for x
    x = 285,380,524,428.79/248,968.69
  6. Step 6: Final answer
    x = 1,146,250.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.