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Finding the Third Proportional to 171,041.63 and 365,775.75

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Solution

The third proportional to 171,041.63 and 365,775.75 is: 782,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,041.63 : 365,775.75 = 365,775.75 : x
  2. Step 2: Convert to fraction form
    171,041.63/365,775.75 = 365,775.75/x
  3. Step 3: Cross multiply
    171,041.63x = 365,775.75 × 365,775.75
  4. Step 4: Simplify right side
    171,041.63x = 133,791,899,288.06
  5. Step 5: Solve for x
    x = 133,791,899,288.06/171,041.63
  6. Step 6: Final answer
    x = 782,218.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.