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Finding the Third Proportional to 200,733.75 and 295,555.50

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Solution

The third proportional to 200,733.75 and 295,555.50 is: 435,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733.75 : 295,555.50 = 295,555.50 : x
  2. Step 2: Convert to fraction form
    200,733.75/295,555.50 = 295,555.50/x
  3. Step 3: Cross multiply
    200,733.75x = 295,555.50 × 295,555.50
  4. Step 4: Simplify right side
    200,733.75x = 87,353,053,580.25
  5. Step 5: Solve for x
    x = 87,353,053,580.25/200,733.75
  6. Step 6: Final answer
    x = 435,168.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.