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Finding the Third Proportional to 174,245 and 256,264

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Solution

The third proportional to 174,245 and 256,264 is: 376,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,245 : 256,264 = 256,264 : x
  2. Step 2: Convert to fraction form
    174,245/256,264 = 256,264/x
  3. Step 3: Cross multiply
    174,245x = 256,264 × 256,264
  4. Step 4: Simplify right side
    174,245x = 65,671,237,696
  5. Step 5: Solve for x
    x = 65,671,237,696/174,245
  6. Step 6: Final answer
    x = 376,890.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.