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Finding the Third Proportional to 183,172 and 290,598

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Solution

The third proportional to 183,172 and 290,598 is: 461,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,172 : 290,598 = 290,598 : x
  2. Step 2: Convert to fraction form
    183,172/290,598 = 290,598/x
  3. Step 3: Cross multiply
    183,172x = 290,598 × 290,598
  4. Step 4: Simplify right side
    183,172x = 84,447,197,604
  5. Step 5: Solve for x
    x = 84,447,197,604/183,172
  6. Step 6: Final answer
    x = 461,026.78

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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.