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Finding the Third Proportional to 120,590.25 and 262,609.50

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Solution

The third proportional to 120,590.25 and 262,609.50 is: 571,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,590.25 : 262,609.50 = 262,609.50 : x
  2. Step 2: Convert to fraction form
    120,590.25/262,609.50 = 262,609.50/x
  3. Step 3: Cross multiply
    120,590.25x = 262,609.50 × 262,609.50
  4. Step 4: Simplify right side
    120,590.25x = 68,963,749,490.25
  5. Step 5: Solve for x
    x = 68,963,749,490.25/120,590.25
  6. Step 6: Final answer
    x = 571,884.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.