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Finding the Third Proportional to 179,733 and 238,495.50

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Solution

The third proportional to 179,733 and 238,495.50 is: 316,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,733 : 238,495.50 = 238,495.50 : x
  2. Step 2: Convert to fraction form
    179,733/238,495.50 = 238,495.50/x
  3. Step 3: Cross multiply
    179,733x = 238,495.50 × 238,495.50
  4. Step 4: Simplify right side
    179,733x = 56,880,103,520.25
  5. Step 5: Solve for x
    x = 56,880,103,520.25/179,733
  6. Step 6: Final answer
    x = 316,470.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.