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Finding the Third Proportional to 155,529 and 364,198.50

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Solution

The third proportional to 155,529 and 364,198.50 is: 852,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,529 : 364,198.50 = 364,198.50 : x
  2. Step 2: Convert to fraction form
    155,529/364,198.50 = 364,198.50/x
  3. Step 3: Cross multiply
    155,529x = 364,198.50 × 364,198.50
  4. Step 4: Simplify right side
    155,529x = 132,640,547,402.25
  5. Step 5: Solve for x
    x = 132,640,547,402.25/155,529
  6. Step 6: Final answer
    x = 852,834.82

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