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Finding the Third Proportional to 236,043 and 374,337

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Solution

The third proportional to 236,043 and 374,337 is: 593,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,043 : 374,337 = 374,337 : x
  2. Step 2: Convert to fraction form
    236,043/374,337 = 374,337/x
  3. Step 3: Cross multiply
    236,043x = 374,337 × 374,337
  4. Step 4: Simplify right side
    236,043x = 140,128,189,569
  5. Step 5: Solve for x
    x = 140,128,189,569/236,043
  6. Step 6: Final answer
    x = 593,655.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.