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Finding the Third Proportional to 144,696 and 300,480

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Solution

The third proportional to 144,696 and 300,480 is: 623,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,696 : 300,480 = 300,480 : x
  2. Step 2: Convert to fraction form
    144,696/300,480 = 300,480/x
  3. Step 3: Cross multiply
    144,696x = 300,480 × 300,480
  4. Step 4: Simplify right side
    144,696x = 90,288,230,400
  5. Step 5: Solve for x
    x = 90,288,230,400/144,696
  6. Step 6: Final answer
    x = 623,985.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.