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Finding the Third Proportional to 116,742 and 256,080

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Solution

The third proportional to 116,742 and 256,080 is: 561,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,742 : 256,080 = 256,080 : x
  2. Step 2: Convert to fraction form
    116,742/256,080 = 256,080/x
  3. Step 3: Cross multiply
    116,742x = 256,080 × 256,080
  4. Step 4: Simplify right side
    116,742x = 65,576,966,400
  5. Step 5: Solve for x
    x = 65,576,966,400/116,742
  6. Step 6: Final answer
    x = 561,725.57

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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.