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Finding the Third Proportional to 190,010 and 300,859

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Solution

The third proportional to 190,010 and 300,859 is: 476,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,010 : 300,859 = 300,859 : x
  2. Step 2: Convert to fraction form
    190,010/300,859 = 300,859/x
  3. Step 3: Cross multiply
    190,010x = 300,859 × 300,859
  4. Step 4: Simplify right side
    190,010x = 90,516,137,881
  5. Step 5: Solve for x
    x = 90,516,137,881/190,010
  6. Step 6: Final answer
    x = 476,375.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.