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Finding the Third Proportional to 183,168 and 290,592

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Solution

The third proportional to 183,168 and 290,592 is: 461,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,168 : 290,592 = 290,592 : x
  2. Step 2: Convert to fraction form
    183,168/290,592 = 290,592/x
  3. Step 3: Cross multiply
    183,168x = 290,592 × 290,592
  4. Step 4: Simplify right side
    183,168x = 84,443,710,464
  5. Step 5: Solve for x
    x = 84,443,710,464/183,168
  6. Step 6: Final answer
    x = 461,017.81

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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.