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Finding the Third Proportional to 77,299 and 178,960

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Solution

The third proportional to 77,299 and 178,960 is: 414,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,299 : 178,960 = 178,960 : x
  2. Step 2: Convert to fraction form
    77,299/178,960 = 178,960/x
  3. Step 3: Cross multiply
    77,299x = 178,960 × 178,960
  4. Step 4: Simplify right side
    77,299x = 32,026,681,600
  5. Step 5: Solve for x
    x = 32,026,681,600/77,299
  6. Step 6: Final answer
    x = 414,322.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.