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Finding the Third Proportional to 250,894 and 541,154

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Solution

The third proportional to 250,894 and 541,154 is: 1,167,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,894 : 541,154 = 541,154 : x
  2. Step 2: Convert to fraction form
    250,894/541,154 = 541,154/x
  3. Step 3: Cross multiply
    250,894x = 541,154 × 541,154
  4. Step 4: Simplify right side
    250,894x = 292,847,651,716
  5. Step 5: Solve for x
    x = 292,847,651,716/250,894
  6. Step 6: Final answer
    x = 1,167,216.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.