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Finding the Third Proportional to 174,998 and 374,860

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Solution

The third proportional to 174,998 and 374,860 is: 802,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,998 : 374,860 = 374,860 : x
  2. Step 2: Convert to fraction form
    174,998/374,860 = 374,860/x
  3. Step 3: Cross multiply
    174,998x = 374,860 × 374,860
  4. Step 4: Simplify right side
    174,998x = 140,520,019,600
  5. Step 5: Solve for x
    x = 140,520,019,600/174,998
  6. Step 6: Final answer
    x = 802,980.72

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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.