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Finding the Third Proportional to 117,114 and 256,440

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Solution

The third proportional to 117,114 and 256,440 is: 561,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114 : 256,440 = 256,440 : x
  2. Step 2: Convert to fraction form
    117,114/256,440 = 256,440/x
  3. Step 3: Cross multiply
    117,114x = 256,440 × 256,440
  4. Step 4: Simplify right side
    117,114x = 65,761,473,600
  5. Step 5: Solve for x
    x = 65,761,473,600/117,114
  6. Step 6: Final answer
    x = 561,516.76

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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.