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Finding the Third Proportional to 144,158 and 215,054

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Solution

The third proportional to 144,158 and 215,054 is: 320,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,158 : 215,054 = 215,054 : x
  2. Step 2: Convert to fraction form
    144,158/215,054 = 215,054/x
  3. Step 3: Cross multiply
    144,158x = 215,054 × 215,054
  4. Step 4: Simplify right side
    144,158x = 46,248,222,916
  5. Step 5: Solve for x
    x = 46,248,222,916/144,158
  6. Step 6: Final answer
    x = 320,816.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.