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Finding the Third Proportional to 232,245 and 510,161.63

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Solution

The third proportional to 232,245 and 510,161.63 is: 1,120,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,245 : 510,161.63 = 510,161.63 : x
  2. Step 2: Convert to fraction form
    232,245/510,161.63 = 510,161.63/x
  3. Step 3: Cross multiply
    232,245x = 510,161.63 × 510,161.63
  4. Step 4: Simplify right side
    232,245x = 260,264,883,622.64
  5. Step 5: Solve for x
    x = 260,264,883,622.64/232,245
  6. Step 6: Final answer
    x = 1,120,647.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.