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Finding the Third Proportional to 239,194 and 370,131

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Solution

The third proportional to 239,194 and 370,131 is: 572,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,194 : 370,131 = 370,131 : x
  2. Step 2: Convert to fraction form
    239,194/370,131 = 370,131/x
  3. Step 3: Cross multiply
    239,194x = 370,131 × 370,131
  4. Step 4: Simplify right side
    239,194x = 136,996,957,161
  5. Step 5: Solve for x
    x = 136,996,957,161/239,194
  6. Step 6: Final answer
    x = 572,744.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.