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Finding the Third Proportional to 151,783.50 and 326,529

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Solution

The third proportional to 151,783.50 and 326,529 is: 702,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,783.50 : 326,529 = 326,529 : x
  2. Step 2: Convert to fraction form
    151,783.50/326,529 = 326,529/x
  3. Step 3: Cross multiply
    151,783.50x = 326,529 × 326,529
  4. Step 4: Simplify right side
    151,783.50x = 106,621,187,841
  5. Step 5: Solve for x
    x = 106,621,187,841/151,783.50
  6. Step 6: Final answer
    x = 702,455.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.