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Finding the Third Proportional to 120,184 and 255,896

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Solution

The third proportional to 120,184 and 255,896 is: 544,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184 : 255,896 = 255,896 : x
  2. Step 2: Convert to fraction form
    120,184/255,896 = 255,896/x
  3. Step 3: Cross multiply
    120,184x = 255,896 × 255,896
  4. Step 4: Simplify right side
    120,184x = 65,482,762,816
  5. Step 5: Solve for x
    x = 65,482,762,816/120,184
  6. Step 6: Final answer
    x = 544,854.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.