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Finding the Third Proportional to 254,196 and 541,260

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Solution

The third proportional to 254,196 and 541,260 is: 1,152,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,196 : 541,260 = 541,260 : x
  2. Step 2: Convert to fraction form
    254,196/541,260 = 541,260/x
  3. Step 3: Cross multiply
    254,196x = 541,260 × 541,260
  4. Step 4: Simplify right side
    254,196x = 292,962,387,600
  5. Step 5: Solve for x
    x = 292,962,387,600/254,196
  6. Step 6: Final answer
    x = 1,152,505.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.