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Finding the Third Proportional to 175,041 and 374,989.50

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Solution

The third proportional to 175,041 and 374,989.50 is: 803,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,041 : 374,989.50 = 374,989.50 : x
  2. Step 2: Convert to fraction form
    175,041/374,989.50 = 374,989.50/x
  3. Step 3: Cross multiply
    175,041x = 374,989.50 × 374,989.50
  4. Step 4: Simplify right side
    175,041x = 140,617,125,110.25
  5. Step 5: Solve for x
    x = 140,617,125,110.25/175,041
  6. Step 6: Final answer
    x = 803,338.22

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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.