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Finding the Third Proportional to 133,528.50 and 290,142

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Solution

The third proportional to 133,528.50 and 290,142 is: 630,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,528.50 : 290,142 = 290,142 : x
  2. Step 2: Convert to fraction form
    133,528.50/290,142 = 290,142/x
  3. Step 3: Cross multiply
    133,528.50x = 290,142 × 290,142
  4. Step 4: Simplify right side
    133,528.50x = 84,182,380,164
  5. Step 5: Solve for x
    x = 84,182,380,164/133,528.50
  6. Step 6: Final answer
    x = 630,445.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.