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Finding the Third Proportional to 174,074 and 370,910

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Solution

The third proportional to 174,074 and 370,910 is: 790,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,074 : 370,910 = 370,910 : x
  2. Step 2: Convert to fraction form
    174,074/370,910 = 370,910/x
  3. Step 3: Cross multiply
    174,074x = 370,910 × 370,910
  4. Step 4: Simplify right side
    174,074x = 137,574,228,100
  5. Step 5: Solve for x
    x = 137,574,228,100/174,074
  6. Step 6: Final answer
    x = 790,320.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.