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Finding the Third Proportional to 141,864 and 300,120

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Solution

The third proportional to 141,864 and 300,120 is: 634,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,864 : 300,120 = 300,120 : x
  2. Step 2: Convert to fraction form
    141,864/300,120 = 300,120/x
  3. Step 3: Cross multiply
    141,864x = 300,120 × 300,120
  4. Step 4: Simplify right side
    141,864x = 90,072,014,400
  5. Step 5: Solve for x
    x = 90,072,014,400/141,864
  6. Step 6: Final answer
    x = 634,918.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.