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Finding the Third Proportional to 144,666 and 311,535

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Solution

The third proportional to 144,666 and 311,535 is: 670,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,666 : 311,535 = 311,535 : x
  2. Step 2: Convert to fraction form
    144,666/311,535 = 311,535/x
  3. Step 3: Cross multiply
    144,666x = 311,535 × 311,535
  4. Step 4: Simplify right side
    144,666x = 97,054,056,225
  5. Step 5: Solve for x
    x = 97,054,056,225/144,666
  6. Step 6: Final answer
    x = 670,883.66

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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.