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Finding the Third Proportional to 178,380.51 and 375,435.95

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Solution

The third proportional to 178,380.51 and 375,435.95 is: 790,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,380.51 : 375,435.95 = 375,435.95 : x
  2. Step 2: Convert to fraction form
    178,380.51/375,435.95 = 375,435.95/x
  3. Step 3: Cross multiply
    178,380.51x = 375,435.95 × 375,435.95
  4. Step 4: Simplify right side
    178,380.51x = 140,952,151,965.78
  5. Step 5: Solve for x
    x = 140,952,151,965.78/178,380.51
  6. Step 6: Final answer
    x = 790,176.86

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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.