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Finding the Third Proportional to 158,608 and 215,305

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Solution

The third proportional to 158,608 and 215,305 is: 292,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608 : 215,305 = 215,305 : x
  2. Step 2: Convert to fraction form
    158,608/215,305 = 215,305/x
  3. Step 3: Cross multiply
    158,608x = 215,305 × 215,305
  4. Step 4: Simplify right side
    158,608x = 46,356,243,025
  5. Step 5: Solve for x
    x = 46,356,243,025/158,608
  6. Step 6: Final answer
    x = 292,269.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.