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Finding the Third Proportional to 116,671 and 254,461

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Solution

The third proportional to 116,671 and 254,461 is: 554,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,671 : 254,461 = 254,461 : x
  2. Step 2: Convert to fraction form
    116,671/254,461 = 254,461/x
  3. Step 3: Cross multiply
    116,671x = 254,461 × 254,461
  4. Step 4: Simplify right side
    116,671x = 64,750,400,521
  5. Step 5: Solve for x
    x = 64,750,400,521/116,671
  6. Step 6: Final answer
    x = 554,982.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.