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Finding the Third Proportional to 240,024 and 345,732

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Solution

The third proportional to 240,024 and 345,732 is: 497,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,024 : 345,732 = 345,732 : x
  2. Step 2: Convert to fraction form
    240,024/345,732 = 345,732/x
  3. Step 3: Cross multiply
    240,024x = 345,732 × 345,732
  4. Step 4: Simplify right side
    240,024x = 119,530,615,824
  5. Step 5: Solve for x
    x = 119,530,615,824/240,024
  6. Step 6: Final answer
    x = 497,994.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.