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Finding the Third Proportional to 245,006 and 368,934

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Solution

The third proportional to 245,006 and 368,934 is: 555,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,006 : 368,934 = 368,934 : x
  2. Step 2: Convert to fraction form
    245,006/368,934 = 368,934/x
  3. Step 3: Cross multiply
    245,006x = 368,934 × 368,934
  4. Step 4: Simplify right side
    245,006x = 136,112,296,356
  5. Step 5: Solve for x
    x = 136,112,296,356/245,006
  6. Step 6: Final answer
    x = 555,546.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.