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Finding the Third Proportional to 158,608 and 352,208

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Solution

The third proportional to 158,608 and 352,208 is: 782,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608 : 352,208 = 352,208 : x
  2. Step 2: Convert to fraction form
    158,608/352,208 = 352,208/x
  3. Step 3: Cross multiply
    158,608x = 352,208 × 352,208
  4. Step 4: Simplify right side
    158,608x = 124,050,475,264
  5. Step 5: Solve for x
    x = 124,050,475,264/158,608
  6. Step 6: Final answer
    x = 782,119.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.