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Finding the Third Proportional to 145,416 and 311,568

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Solution

The third proportional to 145,416 and 311,568 is: 667,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416 : 311,568 = 311,568 : x
  2. Step 2: Convert to fraction form
    145,416/311,568 = 311,568/x
  3. Step 3: Cross multiply
    145,416x = 311,568 × 311,568
  4. Step 4: Simplify right side
    145,416x = 97,074,618,624
  5. Step 5: Solve for x
    x = 97,074,618,624/145,416
  6. Step 6: Final answer
    x = 667,564.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.