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Finding the Third Proportional to 180,336 and 269,472

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Solution

The third proportional to 180,336 and 269,472 is: 402,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,336 : 269,472 = 269,472 : x
  2. Step 2: Convert to fraction form
    180,336/269,472 = 269,472/x
  3. Step 3: Cross multiply
    180,336x = 269,472 × 269,472
  4. Step 4: Simplify right side
    180,336x = 72,615,158,784
  5. Step 5: Solve for x
    x = 72,615,158,784/180,336
  6. Step 6: Final answer
    x = 402,665.91

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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.