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Finding the Third Proportional to 180,518 and 269,737

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Solution

The third proportional to 180,518 and 269,737 is: 403,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,518 : 269,737 = 269,737 : x
  2. Step 2: Convert to fraction form
    180,518/269,737 = 269,737/x
  3. Step 3: Cross multiply
    180,518x = 269,737 × 269,737
  4. Step 4: Simplify right side
    180,518x = 72,758,049,169
  5. Step 5: Solve for x
    x = 72,758,049,169/180,518
  6. Step 6: Final answer
    x = 403,051.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.