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Finding the Third Proportional to 148,558.50 and 201,847.50

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Solution

The third proportional to 148,558.50 and 201,847.50 is: 274,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,558.50 : 201,847.50 = 201,847.50 : x
  2. Step 2: Convert to fraction form
    148,558.50/201,847.50 = 201,847.50/x
  3. Step 3: Cross multiply
    148,558.50x = 201,847.50 × 201,847.50
  4. Step 4: Simplify right side
    148,558.50x = 40,742,413,256.25
  5. Step 5: Solve for x
    x = 40,742,413,256.25/148,558.50
  6. Step 6: Final answer
    x = 274,251.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.