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Finding the Third Proportional to 118,496 and 253,669

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Solution

The third proportional to 118,496 and 253,669 is: 543,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,496 : 253,669 = 253,669 : x
  2. Step 2: Convert to fraction form
    118,496/253,669 = 253,669/x
  3. Step 3: Cross multiply
    118,496x = 253,669 × 253,669
  4. Step 4: Simplify right side
    118,496x = 64,347,961,561
  5. Step 5: Solve for x
    x = 64,347,961,561/118,496
  6. Step 6: Final answer
    x = 543,039.10

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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.