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Finding the Third Proportional to 120,648 and 252,304

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Solution

The third proportional to 120,648 and 252,304 is: 527,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,648 : 252,304 = 252,304 : x
  2. Step 2: Convert to fraction form
    120,648/252,304 = 252,304/x
  3. Step 3: Cross multiply
    120,648x = 252,304 × 252,304
  4. Step 4: Simplify right side
    120,648x = 63,657,308,416
  5. Step 5: Solve for x
    x = 63,657,308,416/120,648
  6. Step 6: Final answer
    x = 527,628.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.