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Finding the Third Proportional to 190,036.50 and 412,929

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Solution

The third proportional to 190,036.50 and 412,929 is: 897,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,036.50 : 412,929 = 412,929 : x
  2. Step 2: Convert to fraction form
    190,036.50/412,929 = 412,929/x
  3. Step 3: Cross multiply
    190,036.50x = 412,929 × 412,929
  4. Step 4: Simplify right side
    190,036.50x = 170,510,359,041
  5. Step 5: Solve for x
    x = 170,510,359,041/190,036.50
  6. Step 6: Final answer
    x = 897,250.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.