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Finding the Third Proportional to 242,848 and 361,782

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Solution

The third proportional to 242,848 and 361,782 is: 538,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,848 : 361,782 = 361,782 : x
  2. Step 2: Convert to fraction form
    242,848/361,782 = 361,782/x
  3. Step 3: Cross multiply
    242,848x = 361,782 × 361,782
  4. Step 4: Simplify right side
    242,848x = 130,886,215,524
  5. Step 5: Solve for x
    x = 130,886,215,524/242,848
  6. Step 6: Final answer
    x = 538,963.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.