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Finding the Third Proportional to 118,476 and 253,336

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Solution

The third proportional to 118,476 and 253,336 is: 541,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,476 : 253,336 = 253,336 : x
  2. Step 2: Convert to fraction form
    118,476/253,336 = 253,336/x
  3. Step 3: Cross multiply
    118,476x = 253,336 × 253,336
  4. Step 4: Simplify right side
    118,476x = 64,179,128,896
  5. Step 5: Solve for x
    x = 64,179,128,896/118,476
  6. Step 6: Final answer
    x = 541,705.74

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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.