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Finding the Third Proportional to 118,498 and 253,673

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Solution

The third proportional to 118,498 and 253,673 is: 543,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,498 : 253,673 = 253,673 : x
  2. Step 2: Convert to fraction form
    118,498/253,673 = 253,673/x
  3. Step 3: Cross multiply
    118,498x = 253,673 × 253,673
  4. Step 4: Simplify right side
    118,498x = 64,349,990,929
  5. Step 5: Solve for x
    x = 64,349,990,929/118,498
  6. Step 6: Final answer
    x = 543,047.06

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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.