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Finding the Third Proportional to 160,504 and 379,572

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Solution

The third proportional to 160,504 and 379,572 is: 897,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,504 : 379,572 = 379,572 : x
  2. Step 2: Convert to fraction form
    160,504/379,572 = 379,572/x
  3. Step 3: Cross multiply
    160,504x = 379,572 × 379,572
  4. Step 4: Simplify right side
    160,504x = 144,074,903,184
  5. Step 5: Solve for x
    x = 144,074,903,184/160,504
  6. Step 6: Final answer
    x = 897,640.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.