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Finding the Third Proportional to 170,715 and 372,960

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Solution

The third proportional to 170,715 and 372,960 is: 814,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,715 : 372,960 = 372,960 : x
  2. Step 2: Convert to fraction form
    170,715/372,960 = 372,960/x
  3. Step 3: Cross multiply
    170,715x = 372,960 × 372,960
  4. Step 4: Simplify right side
    170,715x = 139,099,161,600
  5. Step 5: Solve for x
    x = 139,099,161,600/170,715
  6. Step 6: Final answer
    x = 814,803.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.