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Finding the Third Proportional to 143,329 and 334,697.50

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Solution

The third proportional to 143,329 and 334,697.50 is: 781,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,329 : 334,697.50 = 334,697.50 : x
  2. Step 2: Convert to fraction form
    143,329/334,697.50 = 334,697.50/x
  3. Step 3: Cross multiply
    143,329x = 334,697.50 × 334,697.50
  4. Step 4: Simplify right side
    143,329x = 112,022,416,506.25
  5. Step 5: Solve for x
    x = 112,022,416,506.25/143,329
  6. Step 6: Final answer
    x = 781,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.