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Finding the Third Proportional to 183,174 and 290,602

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Solution

The third proportional to 183,174 and 290,602 is: 461,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,174 : 290,602 = 290,602 : x
  2. Step 2: Convert to fraction form
    183,174/290,602 = 290,602/x
  3. Step 3: Cross multiply
    183,174x = 290,602 × 290,602
  4. Step 4: Simplify right side
    183,174x = 84,449,522,404
  5. Step 5: Solve for x
    x = 84,449,522,404/183,174
  6. Step 6: Final answer
    x = 461,034.44

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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.