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Finding the Third Proportional to 175,996.50 and 373,807.50

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Solution

The third proportional to 175,996.50 and 373,807.50 is: 793,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,996.50 : 373,807.50 = 373,807.50 : x
  2. Step 2: Convert to fraction form
    175,996.50/373,807.50 = 373,807.50/x
  3. Step 3: Cross multiply
    175,996.50x = 373,807.50 × 373,807.50
  4. Step 4: Simplify right side
    175,996.50x = 139,732,047,056.25
  5. Step 5: Solve for x
    x = 139,732,047,056.25/175,996.50
  6. Step 6: Final answer
    x = 793,947.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.