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Finding the Third Proportional to 160,974 and 353,664

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Solution

The third proportional to 160,974 and 353,664 is: 777,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,974 : 353,664 = 353,664 : x
  2. Step 2: Convert to fraction form
    160,974/353,664 = 353,664/x
  3. Step 3: Cross multiply
    160,974x = 353,664 × 353,664
  4. Step 4: Simplify right side
    160,974x = 125,078,224,896
  5. Step 5: Solve for x
    x = 125,078,224,896/160,974
  6. Step 6: Final answer
    x = 777,008.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.