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Finding the Third Proportional to 272,308.50 and 422,401.50

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Solution

The third proportional to 272,308.50 and 422,401.50 is: 655,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,308.50 : 422,401.50 = 422,401.50 : x
  2. Step 2: Convert to fraction form
    272,308.50/422,401.50 = 422,401.50/x
  3. Step 3: Cross multiply
    272,308.50x = 422,401.50 × 422,401.50
  4. Step 4: Simplify right side
    272,308.50x = 178,423,027,202.25
  5. Step 5: Solve for x
    x = 178,423,027,202.25/272,308.50
  6. Step 6: Final answer
    x = 655,223.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.