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Finding the Third Proportional to 140,864.63 and 313,224.75

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Solution

The third proportional to 140,864.63 and 313,224.75 is: 696,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,864.63 : 313,224.75 = 313,224.75 : x
  2. Step 2: Convert to fraction form
    140,864.63/313,224.75 = 313,224.75/x
  3. Step 3: Cross multiply
    140,864.63x = 313,224.75 × 313,224.75
  4. Step 4: Simplify right side
    140,864.63x = 98,109,744,012.56
  5. Step 5: Solve for x
    x = 98,109,744,012.56/140,864.63
  6. Step 6: Final answer
    x = 696,482.48

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.