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Finding the Third Proportional to 183,769 and 276,725

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Solution

The third proportional to 183,769 and 276,725 is: 416,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,769 : 276,725 = 276,725 : x
  2. Step 2: Convert to fraction form
    183,769/276,725 = 276,725/x
  3. Step 3: Cross multiply
    183,769x = 276,725 × 276,725
  4. Step 4: Simplify right side
    183,769x = 76,576,725,625
  5. Step 5: Solve for x
    x = 76,576,725,625/183,769
  6. Step 6: Final answer
    x = 416,701.00

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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.