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Finding the Third Proportional to 168,337.50 and 362,913

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Solution

The third proportional to 168,337.50 and 362,913 is: 782,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,337.50 : 362,913 = 362,913 : x
  2. Step 2: Convert to fraction form
    168,337.50/362,913 = 362,913/x
  3. Step 3: Cross multiply
    168,337.50x = 362,913 × 362,913
  4. Step 4: Simplify right side
    168,337.50x = 131,705,845,569
  5. Step 5: Solve for x
    x = 131,705,845,569/168,337.50
  6. Step 6: Final answer
    x = 782,391.60

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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.