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Finding the Third Proportional to 178,128 and 373,536

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Solution

The third proportional to 178,128 and 373,536 is: 783,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128 : 373,536 = 373,536 : x
  2. Step 2: Convert to fraction form
    178,128/373,536 = 373,536/x
  3. Step 3: Cross multiply
    178,128x = 373,536 × 373,536
  4. Step 4: Simplify right side
    178,128x = 139,529,143,296
  5. Step 5: Solve for x
    x = 139,529,143,296/178,128
  6. Step 6: Final answer
    x = 783,308.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.