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Finding the Third Proportional to 242,503 and 367,108

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Solution

The third proportional to 242,503 and 367,108 is: 555,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,503 : 367,108 = 367,108 : x
  2. Step 2: Convert to fraction form
    242,503/367,108 = 367,108/x
  3. Step 3: Cross multiply
    242,503x = 367,108 × 367,108
  4. Step 4: Simplify right side
    242,503x = 134,768,283,664
  5. Step 5: Solve for x
    x = 134,768,283,664/242,503
  6. Step 6: Final answer
    x = 555,738.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.