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Finding the Third Proportional to 120,952 and 256,544

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Solution

The third proportional to 120,952 and 256,544 is: 544,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,952 : 256,544 = 256,544 : x
  2. Step 2: Convert to fraction form
    120,952/256,544 = 256,544/x
  3. Step 3: Cross multiply
    120,952x = 256,544 × 256,544
  4. Step 4: Simplify right side
    120,952x = 65,814,823,936
  5. Step 5: Solve for x
    x = 65,814,823,936/120,952
  6. Step 6: Final answer
    x = 544,140.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.