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Finding the Third Proportional to 183,169 and 290,593.50

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Solution

The third proportional to 183,169 and 290,593.50 is: 461,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,169 : 290,593.50 = 290,593.50 : x
  2. Step 2: Convert to fraction form
    183,169/290,593.50 = 290,593.50/x
  3. Step 3: Cross multiply
    183,169x = 290,593.50 × 290,593.50
  4. Step 4: Simplify right side
    183,169x = 84,444,582,242.25
  5. Step 5: Solve for x
    x = 84,444,582,242.25/183,169
  6. Step 6: Final answer
    x = 461,020.05

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