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Finding the Third Proportional to 71,464.50 and 155,383.88

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Solution

The third proportional to 71,464.50 and 155,383.88 is: 337,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464.50 : 155,383.88 = 155,383.88 : x
  2. Step 2: Convert to fraction form
    71,464.50/155,383.88 = 155,383.88/x
  3. Step 3: Cross multiply
    71,464.50x = 155,383.88 × 155,383.88
  4. Step 4: Simplify right side
    71,464.50x = 24,144,148,610.02
  5. Step 5: Solve for x
    x = 24,144,148,610.02/71,464.50
  6. Step 6: Final answer
    x = 337,848.14

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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.