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Finding the Third Proportional to 170,846 and 260,480

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Solution

The third proportional to 170,846 and 260,480 is: 397,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,846 : 260,480 = 260,480 : x
  2. Step 2: Convert to fraction form
    170,846/260,480 = 260,480/x
  3. Step 3: Cross multiply
    170,846x = 260,480 × 260,480
  4. Step 4: Simplify right side
    170,846x = 67,849,830,400
  5. Step 5: Solve for x
    x = 67,849,830,400/170,846
  6. Step 6: Final answer
    x = 397,140.29

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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.