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Finding the Third Proportional to 238,119.75 and 369,096.75

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Solution

The third proportional to 238,119.75 and 369,096.75 is: 572,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,119.75 : 369,096.75 = 369,096.75 : x
  2. Step 2: Convert to fraction form
    238,119.75/369,096.75 = 369,096.75/x
  3. Step 3: Cross multiply
    238,119.75x = 369,096.75 × 369,096.75
  4. Step 4: Simplify right side
    238,119.75x = 136,232,410,860.56
  5. Step 5: Solve for x
    x = 136,232,410,860.56/238,119.75
  6. Step 6: Final answer
    x = 572,117.23

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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.