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Finding the Third Proportional to 175,336.31 and 383,475.94

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Solution

The third proportional to 175,336.31 and 383,475.94 is: 838,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,336.31 : 383,475.94 = 383,475.94 : x
  2. Step 2: Convert to fraction form
    175,336.31/383,475.94 = 383,475.94/x
  3. Step 3: Cross multiply
    175,336.31x = 383,475.94 × 383,475.94
  4. Step 4: Simplify right side
    175,336.31x = 147,053,794,641.50
  5. Step 5: Solve for x
    x = 147,053,794,641.50/175,336.31
  6. Step 6: Final answer
    x = 838,695.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.