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Finding the Third Proportional to 119,652 and 261,038

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Solution

The third proportional to 119,652 and 261,038 is: 569,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652 : 261,038 = 261,038 : x
  2. Step 2: Convert to fraction form
    119,652/261,038 = 261,038/x
  3. Step 3: Cross multiply
    119,652x = 261,038 × 261,038
  4. Step 4: Simplify right side
    119,652x = 68,140,837,444
  5. Step 5: Solve for x
    x = 68,140,837,444/119,652
  6. Step 6: Final answer
    x = 569,491.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.