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Finding the Third Proportional to 143,294 and 311,465

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Solution

The third proportional to 143,294 and 311,465 is: 677,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,294 : 311,465 = 311,465 : x
  2. Step 2: Convert to fraction form
    143,294/311,465 = 311,465/x
  3. Step 3: Cross multiply
    143,294x = 311,465 × 311,465
  4. Step 4: Simplify right side
    143,294x = 97,010,446,225
  5. Step 5: Solve for x
    x = 97,010,446,225/143,294
  6. Step 6: Final answer
    x = 677,002.85

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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.