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Finding the Third Proportional to 147,829.50 and 319,408.88

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Solution

The third proportional to 147,829.50 and 319,408.88 is: 690,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,829.50 : 319,408.88 = 319,408.88 : x
  2. Step 2: Convert to fraction form
    147,829.50/319,408.88 = 319,408.88/x
  3. Step 3: Cross multiply
    147,829.50x = 319,408.88 × 319,408.88
  4. Step 4: Simplify right side
    147,829.50x = 102,022,029,428.77
  5. Step 5: Solve for x
    x = 102,022,029,428.77/147,829.50
  6. Step 6: Final answer
    x = 690,133.09

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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.