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Finding the Third Proportional to 229,094 and 336,775

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Solution

The third proportional to 229,094 and 336,775 is: 495,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,094 : 336,775 = 336,775 : x
  2. Step 2: Convert to fraction form
    229,094/336,775 = 336,775/x
  3. Step 3: Cross multiply
    229,094x = 336,775 × 336,775
  4. Step 4: Simplify right side
    229,094x = 113,417,400,625
  5. Step 5: Solve for x
    x = 113,417,400,625/229,094
  6. Step 6: Final answer
    x = 495,069.28

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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.