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Finding the Third Proportional to 151,896 and 230,109

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Solution

The third proportional to 151,896 and 230,109 is: 348,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,896 : 230,109 = 230,109 : x
  2. Step 2: Convert to fraction form
    151,896/230,109 = 230,109/x
  3. Step 3: Cross multiply
    151,896x = 230,109 × 230,109
  4. Step 4: Simplify right side
    151,896x = 52,950,151,881
  5. Step 5: Solve for x
    x = 52,950,151,881/151,896
  6. Step 6: Final answer
    x = 348,594.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.