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Finding the Third Proportional to 142,168 and 299,088

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Solution

The third proportional to 142,168 and 299,088 is: 629,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,168 : 299,088 = 299,088 : x
  2. Step 2: Convert to fraction form
    142,168/299,088 = 299,088/x
  3. Step 3: Cross multiply
    142,168x = 299,088 × 299,088
  4. Step 4: Simplify right side
    142,168x = 89,453,631,744
  5. Step 5: Solve for x
    x = 89,453,631,744/142,168
  6. Step 6: Final answer
    x = 629,210.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.