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Finding the Third Proportional to 164,180 and 353,472

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Solution

The third proportional to 164,180 and 353,472 is: 761,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,180 : 353,472 = 353,472 : x
  2. Step 2: Convert to fraction form
    164,180/353,472 = 353,472/x
  3. Step 3: Cross multiply
    164,180x = 353,472 × 353,472
  4. Step 4: Simplify right side
    164,180x = 124,942,454,784
  5. Step 5: Solve for x
    x = 124,942,454,784/164,180
  6. Step 6: Final answer
    x = 761,008.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.