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Finding the Third Proportional to 160,528 and 379,627

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Solution

The third proportional to 160,528 and 379,627 is: 897,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,528 : 379,627 = 379,627 : x
  2. Step 2: Convert to fraction form
    160,528/379,627 = 379,627/x
  3. Step 3: Cross multiply
    160,528x = 379,627 × 379,627
  4. Step 4: Simplify right side
    160,528x = 144,116,659,129
  5. Step 5: Solve for x
    x = 144,116,659,129/160,528
  6. Step 6: Final answer
    x = 897,766.49

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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.