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Finding the Third Proportional to 118,490 and 260,992

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Solution

The third proportional to 118,490 and 260,992 is: 574,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,490 : 260,992 = 260,992 : x
  2. Step 2: Convert to fraction form
    118,490/260,992 = 260,992/x
  3. Step 3: Cross multiply
    118,490x = 260,992 × 260,992
  4. Step 4: Simplify right side
    118,490x = 68,116,824,064
  5. Step 5: Solve for x
    x = 68,116,824,064/118,490
  6. Step 6: Final answer
    x = 574,874.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.