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Finding the Third Proportional to 119,585 and 262,390

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Solution

The third proportional to 119,585 and 262,390 is: 575,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,585 : 262,390 = 262,390 : x
  2. Step 2: Convert to fraction form
    119,585/262,390 = 262,390/x
  3. Step 3: Cross multiply
    119,585x = 262,390 × 262,390
  4. Step 4: Simplify right side
    119,585x = 68,848,512,100
  5. Step 5: Solve for x
    x = 68,848,512,100/119,585
  6. Step 6: Final answer
    x = 575,728.66

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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.