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Finding the Third Proportional to 118,497 and 253,671

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Solution

The third proportional to 118,497 and 253,671 is: 543,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,497 : 253,671 = 253,671 : x
  2. Step 2: Convert to fraction form
    118,497/253,671 = 253,671/x
  3. Step 3: Cross multiply
    118,497x = 253,671 × 253,671
  4. Step 4: Simplify right side
    118,497x = 64,348,976,241
  5. Step 5: Solve for x
    x = 64,348,976,241/118,497
  6. Step 6: Final answer
    x = 543,043.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.