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Finding the Third Proportional to 178,472 and 371,732

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Solution

The third proportional to 178,472 and 371,732 is: 774,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,472 : 371,732 = 371,732 : x
  2. Step 2: Convert to fraction form
    178,472/371,732 = 371,732/x
  3. Step 3: Cross multiply
    178,472x = 371,732 × 371,732
  4. Step 4: Simplify right side
    178,472x = 138,184,679,824
  5. Step 5: Solve for x
    x = 138,184,679,824/178,472
  6. Step 6: Final answer
    x = 774,265.32

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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.