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Finding the Third Proportional to 145,972.13 and 313,768.13

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Solution

The third proportional to 145,972.13 and 313,768.13 is: 674,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972.13 : 313,768.13 = 313,768.13 : x
  2. Step 2: Convert to fraction form
    145,972.13/313,768.13 = 313,768.13/x
  3. Step 3: Cross multiply
    145,972.13x = 313,768.13 × 313,768.13
  4. Step 4: Simplify right side
    145,972.13x = 98,450,436,266.02
  5. Step 5: Solve for x
    x = 98,450,436,266.02/145,972.13
  6. Step 6: Final answer
    x = 674,446.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.