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Finding the Third Proportional to 160,136 and 370,674

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Solution

The third proportional to 160,136 and 370,674 is: 858,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,136 : 370,674 = 370,674 : x
  2. Step 2: Convert to fraction form
    160,136/370,674 = 370,674/x
  3. Step 3: Cross multiply
    160,136x = 370,674 × 370,674
  4. Step 4: Simplify right side
    160,136x = 137,399,214,276
  5. Step 5: Solve for x
    x = 137,399,214,276/160,136
  6. Step 6: Final answer
    x = 858,015.78

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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.