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Finding the Third Proportional to 174,863 and 373,720

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Solution

The third proportional to 174,863 and 373,720 is: 798,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,863 : 373,720 = 373,720 : x
  2. Step 2: Convert to fraction form
    174,863/373,720 = 373,720/x
  3. Step 3: Cross multiply
    174,863x = 373,720 × 373,720
  4. Step 4: Simplify right side
    174,863x = 139,666,638,400
  5. Step 5: Solve for x
    x = 139,666,638,400/174,863
  6. Step 6: Final answer
    x = 798,720.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.