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Finding the Third Proportional to 117,733 and 254,323

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Solution

The third proportional to 117,733 and 254,323 is: 549,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,733 : 254,323 = 254,323 : x
  2. Step 2: Convert to fraction form
    117,733/254,323 = 254,323/x
  3. Step 3: Cross multiply
    117,733x = 254,323 × 254,323
  4. Step 4: Simplify right side
    117,733x = 64,680,188,329
  5. Step 5: Solve for x
    x = 64,680,188,329/117,733
  6. Step 6: Final answer
    x = 549,380.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.