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Finding the Third Proportional to 183,553 and 376,987

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Solution

The third proportional to 183,553 and 376,987 is: 774,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,553 : 376,987 = 376,987 : x
  2. Step 2: Convert to fraction form
    183,553/376,987 = 376,987/x
  3. Step 3: Cross multiply
    183,553x = 376,987 × 376,987
  4. Step 4: Simplify right side
    183,553x = 142,119,198,169
  5. Step 5: Solve for x
    x = 142,119,198,169/183,553
  6. Step 6: Final answer
    x = 774,267.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.