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Finding the Third Proportional to 178,252 and 385,592

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Solution

The third proportional to 178,252 and 385,592 is: 834,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252 : 385,592 = 385,592 : x
  2. Step 2: Convert to fraction form
    178,252/385,592 = 385,592/x
  3. Step 3: Cross multiply
    178,252x = 385,592 × 385,592
  4. Step 4: Simplify right side
    178,252x = 148,681,190,464
  5. Step 5: Solve for x
    x = 148,681,190,464/178,252
  6. Step 6: Final answer
    x = 834,106.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.