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Finding the Third Proportional to 178,291 and 371,522

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Solution

The third proportional to 178,291 and 371,522 is: 774,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,291 : 371,522 = 371,522 : x
  2. Step 2: Convert to fraction form
    178,291/371,522 = 371,522/x
  3. Step 3: Cross multiply
    178,291x = 371,522 × 371,522
  4. Step 4: Simplify right side
    178,291x = 138,028,596,484
  5. Step 5: Solve for x
    x = 138,028,596,484/178,291
  6. Step 6: Final answer
    x = 774,175.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.