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Finding the Third Proportional to 190,336.50 and 276,507

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Solution

The third proportional to 190,336.50 and 276,507 is: 401,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,336.50 : 276,507 = 276,507 : x
  2. Step 2: Convert to fraction form
    190,336.50/276,507 = 276,507/x
  3. Step 3: Cross multiply
    190,336.50x = 276,507 × 276,507
  4. Step 4: Simplify right side
    190,336.50x = 76,456,121,049
  5. Step 5: Solve for x
    x = 76,456,121,049/190,336.50
  6. Step 6: Final answer
    x = 401,689.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.