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Finding the Third Proportional to 170,824 and 260,368

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Solution

The third proportional to 170,824 and 260,368 is: 396,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,824 : 260,368 = 260,368 : x
  2. Step 2: Convert to fraction form
    170,824/260,368 = 260,368/x
  3. Step 3: Cross multiply
    170,824x = 260,368 × 260,368
  4. Step 4: Simplify right side
    170,824x = 67,791,495,424
  5. Step 5: Solve for x
    x = 67,791,495,424/170,824
  6. Step 6: Final answer
    x = 396,849.95

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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.