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Finding the Third Proportional to 150,502 and 313,458

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Solution

The third proportional to 150,502 and 313,458 is: 652,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,502 : 313,458 = 313,458 : x
  2. Step 2: Convert to fraction form
    150,502/313,458 = 313,458/x
  3. Step 3: Cross multiply
    150,502x = 313,458 × 313,458
  4. Step 4: Simplify right side
    150,502x = 98,255,917,764
  5. Step 5: Solve for x
    x = 98,255,917,764/150,502
  6. Step 6: Final answer
    x = 652,854.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.