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Finding the Third Proportional to 119,313 and 261,954

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Solution

The third proportional to 119,313 and 261,954 is: 575,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,313 : 261,954 = 261,954 : x
  2. Step 2: Convert to fraction form
    119,313/261,954 = 261,954/x
  3. Step 3: Cross multiply
    119,313x = 261,954 × 261,954
  4. Step 4: Simplify right side
    119,313x = 68,619,898,116
  5. Step 5: Solve for x
    x = 68,619,898,116/119,313
  6. Step 6: Final answer
    x = 575,125.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.