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Finding the Third Proportional to 251,394 and 542,146

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Solution

The third proportional to 251,394 and 542,146 is: 1,169,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,394 : 542,146 = 542,146 : x
  2. Step 2: Convert to fraction form
    251,394/542,146 = 542,146/x
  3. Step 3: Cross multiply
    251,394x = 542,146 × 542,146
  4. Step 4: Simplify right side
    251,394x = 293,922,285,316
  5. Step 5: Solve for x
    x = 293,922,285,316/251,394
  6. Step 6: Final answer
    x = 1,169,169.85

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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.