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Finding the Third Proportional to 120,516 and 250,590

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Solution

The third proportional to 120,516 and 250,590 is: 521,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,516 : 250,590 = 250,590 : x
  2. Step 2: Convert to fraction form
    120,516/250,590 = 250,590/x
  3. Step 3: Cross multiply
    120,516x = 250,590 × 250,590
  4. Step 4: Simplify right side
    120,516x = 62,795,348,100
  5. Step 5: Solve for x
    x = 62,795,348,100/120,516
  6. Step 6: Final answer
    x = 521,054.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.