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Finding the Third Proportional to 282,178 and 376,179

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Solution

The third proportional to 282,178 and 376,179 is: 501,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,178 : 376,179 = 376,179 : x
  2. Step 2: Convert to fraction form
    282,178/376,179 = 376,179/x
  3. Step 3: Cross multiply
    282,178x = 376,179 × 376,179
  4. Step 4: Simplify right side
    282,178x = 141,510,640,041
  5. Step 5: Solve for x
    x = 141,510,640,041/282,178
  6. Step 6: Final answer
    x = 501,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.