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Finding the Third Proportional to 236,047 and 374,342

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Solution

The third proportional to 236,047 and 374,342 is: 593,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,047 : 374,342 = 374,342 : x
  2. Step 2: Convert to fraction form
    236,047/374,342 = 374,342/x
  3. Step 3: Cross multiply
    236,047x = 374,342 × 374,342
  4. Step 4: Simplify right side
    236,047x = 140,131,932,964
  5. Step 5: Solve for x
    x = 140,131,932,964/236,047
  6. Step 6: Final answer
    x = 593,661.15

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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.