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Finding the Third Proportional to 140,689.41 and 303,537.38

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Solution

The third proportional to 140,689.41 and 303,537.38 is: 654,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,689.41 : 303,537.38 = 303,537.38 : x
  2. Step 2: Convert to fraction form
    140,689.41/303,537.38 = 303,537.38/x
  3. Step 3: Cross multiply
    140,689.41x = 303,537.38 × 303,537.38
  4. Step 4: Simplify right side
    140,689.41x = 92,134,938,021.89
  5. Step 5: Solve for x
    x = 92,134,938,021.89/140,689.41
  6. Step 6: Final answer
    x = 654,881.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.