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Finding the Third Proportional to 183,918 and 276,490

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Solution

The third proportional to 183,918 and 276,490 is: 415,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,918 : 276,490 = 276,490 : x
  2. Step 2: Convert to fraction form
    183,918/276,490 = 276,490/x
  3. Step 3: Cross multiply
    183,918x = 276,490 × 276,490
  4. Step 4: Simplify right side
    183,918x = 76,446,720,100
  5. Step 5: Solve for x
    x = 76,446,720,100/183,918
  6. Step 6: Final answer
    x = 415,656.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.