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Finding the Third Proportional to 229,337 and 337,265

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Solution

The third proportional to 229,337 and 337,265 is: 495,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,337 : 337,265 = 337,265 : x
  2. Step 2: Convert to fraction form
    229,337/337,265 = 337,265/x
  3. Step 3: Cross multiply
    229,337x = 337,265 × 337,265
  4. Step 4: Simplify right side
    229,337x = 113,747,680,225
  5. Step 5: Solve for x
    x = 113,747,680,225/229,337
  6. Step 6: Final answer
    x = 495,984.86

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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.