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Finding the Third Proportional to 118,378 and 254,324

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Solution

The third proportional to 118,378 and 254,324 is: 546,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,378 : 254,324 = 254,324 : x
  2. Step 2: Convert to fraction form
    118,378/254,324 = 254,324/x
  3. Step 3: Cross multiply
    118,378x = 254,324 × 254,324
  4. Step 4: Simplify right side
    118,378x = 64,680,696,976
  5. Step 5: Solve for x
    x = 64,680,696,976/118,378
  6. Step 6: Final answer
    x = 546,391.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.