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Finding the Third Proportional to 117,358 and 256,221

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Solution

The third proportional to 117,358 and 256,221 is: 559,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,358 : 256,221 = 256,221 : x
  2. Step 2: Convert to fraction form
    117,358/256,221 = 256,221/x
  3. Step 3: Cross multiply
    117,358x = 256,221 × 256,221
  4. Step 4: Simplify right side
    117,358x = 65,649,200,841
  5. Step 5: Solve for x
    x = 65,649,200,841/117,358
  6. Step 6: Final answer
    x = 559,392.63

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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.