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Finding the Third Proportional to 117,186 and 256,580

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Solution

The third proportional to 117,186 and 256,580 is: 561,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,186 : 256,580 = 256,580 : x
  2. Step 2: Convert to fraction form
    117,186/256,580 = 256,580/x
  3. Step 3: Cross multiply
    117,186x = 256,580 × 256,580
  4. Step 4: Simplify right side
    117,186x = 65,833,296,400
  5. Step 5: Solve for x
    x = 65,833,296,400/117,186
  6. Step 6: Final answer
    x = 561,784.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.