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Finding the Third Proportional to 143,184 and 311,856

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Solution

The third proportional to 143,184 and 311,856 is: 679,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,184 : 311,856 = 311,856 : x
  2. Step 2: Convert to fraction form
    143,184/311,856 = 311,856/x
  3. Step 3: Cross multiply
    143,184x = 311,856 × 311,856
  4. Step 4: Simplify right side
    143,184x = 97,254,164,736
  5. Step 5: Solve for x
    x = 97,254,164,736/143,184
  6. Step 6: Final answer
    x = 679,225.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.