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Finding the Third Proportional to 175,334.63 and 383,479.31

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Solution

The third proportional to 175,334.63 and 383,479.31 is: 838,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,334.63 : 383,479.31 = 383,479.31 : x
  2. Step 2: Convert to fraction form
    175,334.63/383,479.31 = 383,479.31/x
  3. Step 3: Cross multiply
    175,334.63x = 383,479.31 × 383,479.31
  4. Step 4: Simplify right side
    175,334.63x = 147,056,383,115.47
  5. Step 5: Solve for x
    x = 147,056,383,115.47/175,334.63
  6. Step 6: Final answer
    x = 838,718.44

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Why These Related Problems?

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