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Finding the Third Proportional to 202,341 and 296,950.50

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Solution

The third proportional to 202,341 and 296,950.50 is: 435,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,341 : 296,950.50 = 296,950.50 : x
  2. Step 2: Convert to fraction form
    202,341/296,950.50 = 296,950.50/x
  3. Step 3: Cross multiply
    202,341x = 296,950.50 × 296,950.50
  4. Step 4: Simplify right side
    202,341x = 88,179,599,450.25
  5. Step 5: Solve for x
    x = 88,179,599,450.25/202,341
  6. Step 6: Final answer
    x = 435,796.99

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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.