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Finding the Third Proportional to 179,392.50 and 380,650.50

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Solution

The third proportional to 179,392.50 and 380,650.50 is: 807,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,392.50 : 380,650.50 = 380,650.50 : x
  2. Step 2: Convert to fraction form
    179,392.50/380,650.50 = 380,650.50/x
  3. Step 3: Cross multiply
    179,392.50x = 380,650.50 × 380,650.50
  4. Step 4: Simplify right side
    179,392.50x = 144,894,803,150.25
  5. Step 5: Solve for x
    x = 144,894,803,150.25/179,392.50
  6. Step 6: Final answer
    x = 807,697.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.