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Finding the Third Proportional to 207,330 and 435,550.50

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Solution

The third proportional to 207,330 and 435,550.50 is: 914,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,330 : 435,550.50 = 435,550.50 : x
  2. Step 2: Convert to fraction form
    207,330/435,550.50 = 435,550.50/x
  3. Step 3: Cross multiply
    207,330x = 435,550.50 × 435,550.50
  4. Step 4: Simplify right side
    207,330x = 189,704,238,050.25
  5. Step 5: Solve for x
    x = 189,704,238,050.25/207,330
  6. Step 6: Final answer
    x = 914,986.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.