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Finding the Third Proportional to 160,132 and 370,664

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Solution

The third proportional to 160,132 and 370,664 is: 857,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,132 : 370,664 = 370,664 : x
  2. Step 2: Convert to fraction form
    160,132/370,664 = 370,664/x
  3. Step 3: Cross multiply
    160,132x = 370,664 × 370,664
  4. Step 4: Simplify right side
    160,132x = 137,391,800,896
  5. Step 5: Solve for x
    x = 137,391,800,896/160,132
  6. Step 6: Final answer
    x = 857,990.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.