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Finding the Third Proportional to 183,211 and 290,803

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Solution

The third proportional to 183,211 and 290,803 is: 461,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,211 : 290,803 = 290,803 : x
  2. Step 2: Convert to fraction form
    183,211/290,803 = 290,803/x
  3. Step 3: Cross multiply
    183,211x = 290,803 × 290,803
  4. Step 4: Simplify right side
    183,211x = 84,566,384,809
  5. Step 5: Solve for x
    x = 84,566,384,809/183,211
  6. Step 6: Final answer
    x = 461,579.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.