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Finding the Third Proportional to 158,804 and 348,722

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Solution

The third proportional to 158,804 and 348,722 is: 765,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,804 : 348,722 = 348,722 : x
  2. Step 2: Convert to fraction form
    158,804/348,722 = 348,722/x
  3. Step 3: Cross multiply
    158,804x = 348,722 × 348,722
  4. Step 4: Simplify right side
    158,804x = 121,607,033,284
  5. Step 5: Solve for x
    x = 121,607,033,284/158,804
  6. Step 6: Final answer
    x = 765,768.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.