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Finding the Third Proportional to 194,784.75 and 304,485.75

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Solution

The third proportional to 194,784.75 and 304,485.75 is: 475,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784.75 : 304,485.75 = 304,485.75 : x
  2. Step 2: Convert to fraction form
    194,784.75/304,485.75 = 304,485.75/x
  3. Step 3: Cross multiply
    194,784.75x = 304,485.75 × 304,485.75
  4. Step 4: Simplify right side
    194,784.75x = 92,711,571,953.06
  5. Step 5: Solve for x
    x = 92,711,571,953.06/194,784.75
  6. Step 6: Final answer
    x = 475,969.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.