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Finding the Third Proportional to 160,132 and 350,360

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Solution

The third proportional to 160,132 and 350,360 is: 766,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,132 : 350,360 = 350,360 : x
  2. Step 2: Convert to fraction form
    160,132/350,360 = 350,360/x
  3. Step 3: Cross multiply
    160,132x = 350,360 × 350,360
  4. Step 4: Simplify right side
    160,132x = 122,752,129,600
  5. Step 5: Solve for x
    x = 122,752,129,600/160,132
  6. Step 6: Final answer
    x = 766,568.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.