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Finding the Third Proportional to 184,801.50 and 340,807.50

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Solution

The third proportional to 184,801.50 and 340,807.50 is: 628,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,801.50 : 340,807.50 = 340,807.50 : x
  2. Step 2: Convert to fraction form
    184,801.50/340,807.50 = 340,807.50/x
  3. Step 3: Cross multiply
    184,801.50x = 340,807.50 × 340,807.50
  4. Step 4: Simplify right side
    184,801.50x = 116,149,752,056.25
  5. Step 5: Solve for x
    x = 116,149,752,056.25/184,801.50
  6. Step 6: Final answer
    x = 628,510.87

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.