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Finding the Third Proportional to 141,795 and 209,956.50

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Solution

The third proportional to 141,795 and 209,956.50 is: 310,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,795 : 209,956.50 = 209,956.50 : x
  2. Step 2: Convert to fraction form
    141,795/209,956.50 = 209,956.50/x
  3. Step 3: Cross multiply
    141,795x = 209,956.50 × 209,956.50
  4. Step 4: Simplify right side
    141,795x = 44,081,731,892.25
  5. Step 5: Solve for x
    x = 44,081,731,892.25/141,795
  6. Step 6: Final answer
    x = 310,883.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.