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Finding the Third Proportional to 251,065 and 541,550

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Solution

The third proportional to 251,065 and 541,550 is: 1,168,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,065 : 541,550 = 541,550 : x
  2. Step 2: Convert to fraction form
    251,065/541,550 = 541,550/x
  3. Step 3: Cross multiply
    251,065x = 541,550 × 541,550
  4. Step 4: Simplify right side
    251,065x = 293,276,402,500
  5. Step 5: Solve for x
    x = 293,276,402,500/251,065
  6. Step 6: Final answer
    x = 1,168,129.38

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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.