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Finding the Third Proportional to 242,178 and 332,446

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Solution

The third proportional to 242,178 and 332,446 is: 456,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,178 : 332,446 = 332,446 : x
  2. Step 2: Convert to fraction form
    242,178/332,446 = 332,446/x
  3. Step 3: Cross multiply
    242,178x = 332,446 × 332,446
  4. Step 4: Simplify right side
    242,178x = 110,520,342,916
  5. Step 5: Solve for x
    x = 110,520,342,916/242,178
  6. Step 6: Final answer
    x = 456,359.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.