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Finding the Third Proportional to 143,416 and 311,702

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Solution

The third proportional to 143,416 and 311,702 is: 677,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,416 : 311,702 = 311,702 : x
  2. Step 2: Convert to fraction form
    143,416/311,702 = 311,702/x
  3. Step 3: Cross multiply
    143,416x = 311,702 × 311,702
  4. Step 4: Simplify right side
    143,416x = 97,158,136,804
  5. Step 5: Solve for x
    x = 97,158,136,804/143,416
  6. Step 6: Final answer
    x = 677,456.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.