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Finding the Third Proportional to 141,962.63 and 288,096.75

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Solution

The third proportional to 141,962.63 and 288,096.75 is: 584,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,962.63 : 288,096.75 = 288,096.75 : x
  2. Step 2: Convert to fraction form
    141,962.63/288,096.75 = 288,096.75/x
  3. Step 3: Cross multiply
    141,962.63x = 288,096.75 × 288,096.75
  4. Step 4: Simplify right side
    141,962.63x = 82,999,737,360.56
  5. Step 5: Solve for x
    x = 82,999,737,360.56/141,962.63
  6. Step 6: Final answer
    x = 584,659.08

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.