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Finding the Third Proportional to 119,988 and 262,575

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Solution

The third proportional to 119,988 and 262,575 is: 574,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,988 : 262,575 = 262,575 : x
  2. Step 2: Convert to fraction form
    119,988/262,575 = 262,575/x
  3. Step 3: Cross multiply
    119,988x = 262,575 × 262,575
  4. Step 4: Simplify right side
    119,988x = 68,945,630,625
  5. Step 5: Solve for x
    x = 68,945,630,625/119,988
  6. Step 6: Final answer
    x = 574,604.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.