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Finding the Third Proportional to 144,678 and 311,550

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Solution

The third proportional to 144,678 and 311,550 is: 670,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,678 : 311,550 = 311,550 : x
  2. Step 2: Convert to fraction form
    144,678/311,550 = 311,550/x
  3. Step 3: Cross multiply
    144,678x = 311,550 × 311,550
  4. Step 4: Simplify right side
    144,678x = 97,063,402,500
  5. Step 5: Solve for x
    x = 97,063,402,500/144,678
  6. Step 6: Final answer
    x = 670,892.62

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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.