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Finding the Third Proportional to 250,920 and 536,184

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Solution

The third proportional to 250,920 and 536,184 is: 1,145,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,920 : 536,184 = 536,184 : x
  2. Step 2: Convert to fraction form
    250,920/536,184 = 536,184/x
  3. Step 3: Cross multiply
    250,920x = 536,184 × 536,184
  4. Step 4: Simplify right side
    250,920x = 287,493,281,856
  5. Step 5: Solve for x
    x = 287,493,281,856/250,920
  6. Step 6: Final answer
    x = 1,145,756.74

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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.