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Finding the Third Proportional to 141,504.75 and 210,333.38

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Solution

The third proportional to 141,504.75 and 210,333.38 is: 312,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,504.75 : 210,333.38 = 210,333.38 : x
  2. Step 2: Convert to fraction form
    141,504.75/210,333.38 = 210,333.38/x
  3. Step 3: Cross multiply
    141,504.75x = 210,333.38 × 210,333.38
  4. Step 4: Simplify right side
    141,504.75x = 44,240,128,638.89
  5. Step 5: Solve for x
    x = 44,240,128,638.89/141,504.75
  6. Step 6: Final answer
    x = 312,640.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.