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Finding the Third Proportional to 175,004 and 374,868

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Solution

The third proportional to 175,004 and 374,868 is: 802,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,004 : 374,868 = 374,868 : x
  2. Step 2: Convert to fraction form
    175,004/374,868 = 374,868/x
  3. Step 3: Cross multiply
    175,004x = 374,868 × 374,868
  4. Step 4: Simplify right side
    175,004x = 140,526,017,424
  5. Step 5: Solve for x
    x = 140,526,017,424/175,004
  6. Step 6: Final answer
    x = 802,987.46

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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.