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Finding the Third Proportional to 190,069.88 and 265,729.13

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Solution

The third proportional to 190,069.88 and 265,729.13 is: 371,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,069.88 : 265,729.13 = 265,729.13 : x
  2. Step 2: Convert to fraction form
    190,069.88/265,729.13 = 265,729.13/x
  3. Step 3: Cross multiply
    190,069.88x = 265,729.13 × 265,729.13
  4. Step 4: Simplify right side
    190,069.88x = 70,611,967,873.27
  5. Step 5: Solve for x
    x = 70,611,967,873.27/190,069.88
  6. Step 6: Final answer
    x = 371,505.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.