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Finding the Third Proportional to 183,702 and 260,010

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Solution

The third proportional to 183,702 and 260,010 is: 368,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,702 : 260,010 = 260,010 : x
  2. Step 2: Convert to fraction form
    183,702/260,010 = 260,010/x
  3. Step 3: Cross multiply
    183,702x = 260,010 × 260,010
  4. Step 4: Simplify right side
    183,702x = 67,605,200,100
  5. Step 5: Solve for x
    x = 67,605,200,100/183,702
  6. Step 6: Final answer
    x = 368,015.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.