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Finding the Third Proportional to 121,408 and 183,819

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Solution

The third proportional to 121,408 and 183,819 is: 278,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408 : 183,819 = 183,819 : x
  2. Step 2: Convert to fraction form
    121,408/183,819 = 183,819/x
  3. Step 3: Cross multiply
    121,408x = 183,819 × 183,819
  4. Step 4: Simplify right side
    121,408x = 33,789,424,761
  5. Step 5: Solve for x
    x = 33,789,424,761/121,408
  6. Step 6: Final answer
    x = 278,313.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.