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Finding the Third Proportional to 119,433 and 261,018

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Solution

The third proportional to 119,433 and 261,018 is: 570,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,433 : 261,018 = 261,018 : x
  2. Step 2: Convert to fraction form
    119,433/261,018 = 261,018/x
  3. Step 3: Cross multiply
    119,433x = 261,018 × 261,018
  4. Step 4: Simplify right side
    119,433x = 68,130,396,324
  5. Step 5: Solve for x
    x = 68,130,396,324/119,433
  6. Step 6: Final answer
    x = 570,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.