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Finding the Third Proportional to 116,043 and 254,487

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Solution

The third proportional to 116,043 and 254,487 is: 558,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,043 : 254,487 = 254,487 : x
  2. Step 2: Convert to fraction form
    116,043/254,487 = 254,487/x
  3. Step 3: Cross multiply
    116,043x = 254,487 × 254,487
  4. Step 4: Simplify right side
    116,043x = 64,763,633,169
  5. Step 5: Solve for x
    x = 64,763,633,169/116,043
  6. Step 6: Final answer
    x = 558,100.30

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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.