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Finding the Third Proportional to 119,599 and 251,590

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Solution

The third proportional to 119,599 and 251,590 is: 529,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,599 : 251,590 = 251,590 : x
  2. Step 2: Convert to fraction form
    119,599/251,590 = 251,590/x
  3. Step 3: Cross multiply
    119,599x = 251,590 × 251,590
  4. Step 4: Simplify right side
    119,599x = 63,297,528,100
  5. Step 5: Solve for x
    x = 63,297,528,100/119,599
  6. Step 6: Final answer
    x = 529,247.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.