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Finding the Third Proportional to 160,632 and 357,168

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Solution

The third proportional to 160,632 and 357,168 is: 794,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,632 : 357,168 = 357,168 : x
  2. Step 2: Convert to fraction form
    160,632/357,168 = 357,168/x
  3. Step 3: Cross multiply
    160,632x = 357,168 × 357,168
  4. Step 4: Simplify right side
    160,632x = 127,568,980,224
  5. Step 5: Solve for x
    x = 127,568,980,224/160,632
  6. Step 6: Final answer
    x = 794,169.16

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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.