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Finding the Third Proportional to 116,425 and 254,645

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Solution

The third proportional to 116,425 and 254,645 is: 556,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,425 : 254,645 = 254,645 : x
  2. Step 2: Convert to fraction form
    116,425/254,645 = 254,645/x
  3. Step 3: Cross multiply
    116,425x = 254,645 × 254,645
  4. Step 4: Simplify right side
    116,425x = 64,844,076,025
  5. Step 5: Solve for x
    x = 64,844,076,025/116,425
  6. Step 6: Final answer
    x = 556,960.07

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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.