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Finding the Third Proportional to 170,844 and 260,479

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Solution

The third proportional to 170,844 and 260,479 is: 397,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,844 : 260,479 = 260,479 : x
  2. Step 2: Convert to fraction form
    170,844/260,479 = 260,479/x
  3. Step 3: Cross multiply
    170,844x = 260,479 × 260,479
  4. Step 4: Simplify right side
    170,844x = 67,849,309,441
  5. Step 5: Solve for x
    x = 67,849,309,441/170,844
  6. Step 6: Final answer
    x = 397,141.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.