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Finding the Third Proportional to 155,533.50 and 364,209.75

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Solution

The third proportional to 155,533.50 and 364,209.75 is: 852,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,533.50 : 364,209.75 = 364,209.75 : x
  2. Step 2: Convert to fraction form
    155,533.50/364,209.75 = 364,209.75/x
  3. Step 3: Cross multiply
    155,533.50x = 364,209.75 × 364,209.75
  4. Step 4: Simplify right side
    155,533.50x = 132,648,741,995.06
  5. Step 5: Solve for x
    x = 132,648,741,995.06/155,533.50
  6. Step 6: Final answer
    x = 852,862.84

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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.