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Finding the Third Proportional to 158,624 and 352,240

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Solution

The third proportional to 158,624 and 352,240 is: 782,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,624 : 352,240 = 352,240 : x
  2. Step 2: Convert to fraction form
    158,624/352,240 = 352,240/x
  3. Step 3: Cross multiply
    158,624x = 352,240 × 352,240
  4. Step 4: Simplify right side
    158,624x = 124,073,017,600
  5. Step 5: Solve for x
    x = 124,073,017,600/158,624
  6. Step 6: Final answer
    x = 782,183.13

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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.