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Finding the Third Proportional to 201,069.56 and 294,838.31

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Solution

The third proportional to 201,069.56 and 294,838.31 is: 432,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,069.56 : 294,838.31 = 294,838.31 : x
  2. Step 2: Convert to fraction form
    201,069.56/294,838.31 = 294,838.31/x
  3. Step 3: Cross multiply
    201,069.56x = 294,838.31 × 294,838.31
  4. Step 4: Simplify right side
    201,069.56x = 86,929,630,517.85
  5. Step 5: Solve for x
    x = 86,929,630,517.85/201,069.56
  6. Step 6: Final answer
    x = 432,336.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.