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Finding the Third Proportional to 245,961 and 368,946

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Solution

The third proportional to 245,961 and 368,946 is: 553,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,961 : 368,946 = 368,946 : x
  2. Step 2: Convert to fraction form
    245,961/368,946 = 368,946/x
  3. Step 3: Cross multiply
    245,961x = 368,946 × 368,946
  4. Step 4: Simplify right side
    245,961x = 136,121,150,916
  5. Step 5: Solve for x
    x = 136,121,150,916/245,961
  6. Step 6: Final answer
    x = 553,425.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.