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Finding the Third Proportional to 242,512 and 367,123

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Solution

The third proportional to 242,512 and 367,123 is: 555,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,512 : 367,123 = 367,123 : x
  2. Step 2: Convert to fraction form
    242,512/367,123 = 367,123/x
  3. Step 3: Cross multiply
    242,512x = 367,123 × 367,123
  4. Step 4: Simplify right side
    242,512x = 134,779,297,129
  5. Step 5: Solve for x
    x = 134,779,297,129/242,512
  6. Step 6: Final answer
    x = 555,763.41

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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.