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Finding the Third Proportional to 185,199 and 276,579

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Solution

The third proportional to 185,199 and 276,579 is: 413,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,199 : 276,579 = 276,579 : x
  2. Step 2: Convert to fraction form
    185,199/276,579 = 276,579/x
  3. Step 3: Cross multiply
    185,199x = 276,579 × 276,579
  4. Step 4: Simplify right side
    185,199x = 76,495,943,241
  5. Step 5: Solve for x
    x = 76,495,943,241/185,199
  6. Step 6: Final answer
    x = 413,047.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.