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Finding the Third Proportional to 117,834 and 254,346

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Solution

The third proportional to 117,834 and 254,346 is: 549,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,834 : 254,346 = 254,346 : x
  2. Step 2: Convert to fraction form
    117,834/254,346 = 254,346/x
  3. Step 3: Cross multiply
    117,834x = 254,346 × 254,346
  4. Step 4: Simplify right side
    117,834x = 64,691,887,716
  5. Step 5: Solve for x
    x = 64,691,887,716/117,834
  6. Step 6: Final answer
    x = 549,008.67

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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.