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Finding the Third Proportional to 117,594 and 256,338

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Solution

The third proportional to 117,594 and 256,338 is: 558,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,594 : 256,338 = 256,338 : x
  2. Step 2: Convert to fraction form
    117,594/256,338 = 256,338/x
  3. Step 3: Cross multiply
    117,594x = 256,338 × 256,338
  4. Step 4: Simplify right side
    117,594x = 65,709,170,244
  5. Step 5: Solve for x
    x = 65,709,170,244/117,594
  6. Step 6: Final answer
    x = 558,779.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.