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Finding the Third Proportional to 116,420.63 and 254,635.31

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Solution

The third proportional to 116,420.63 and 254,635.31 is: 556,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,420.63 : 254,635.31 = 254,635.31 : x
  2. Step 2: Convert to fraction form
    116,420.63/254,635.31 = 254,635.31/x
  3. Step 3: Cross multiply
    116,420.63x = 254,635.31 × 254,635.31
  4. Step 4: Simplify right side
    116,420.63x = 64,839,142,371.97
  5. Step 5: Solve for x
    x = 64,839,142,371.97/116,420.63
  6. Step 6: Final answer
    x = 556,938.62

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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.