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Finding the Third Proportional to 229,783.50 and 330,959.25

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Solution

The third proportional to 229,783.50 and 330,959.25 is: 476,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,783.50 : 330,959.25 = 330,959.25 : x
  2. Step 2: Convert to fraction form
    229,783.50/330,959.25 = 330,959.25/x
  3. Step 3: Cross multiply
    229,783.50x = 330,959.25 × 330,959.25
  4. Step 4: Simplify right side
    229,783.50x = 109,534,025,160.56
  5. Step 5: Solve for x
    x = 109,534,025,160.56/229,783.50
  6. Step 6: Final answer
    x = 476,683.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.