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Finding the Third Proportional to 178,237.65 and 396,328.25

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Solution

The third proportional to 178,237.65 and 396,328.25 is: 881,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,237.65 : 396,328.25 = 396,328.25 : x
  2. Step 2: Convert to fraction form
    178,237.65/396,328.25 = 396,328.25/x
  3. Step 3: Cross multiply
    178,237.65x = 396,328.25 × 396,328.25
  4. Step 4: Simplify right side
    178,237.65x = 157,076,084,844.38
  5. Step 5: Solve for x
    x = 157,076,084,844.38/178,237.65
  6. Step 6: Final answer
    x = 881,273.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.