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Finding the Third Proportional to 143,860 and 215,792.50

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Solution

The third proportional to 143,860 and 215,792.50 is: 323,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,860 : 215,792.50 = 215,792.50 : x
  2. Step 2: Convert to fraction form
    143,860/215,792.50 = 215,792.50/x
  3. Step 3: Cross multiply
    143,860x = 215,792.50 × 215,792.50
  4. Step 4: Simplify right side
    143,860x = 46,566,403,056.25
  5. Step 5: Solve for x
    x = 46,566,403,056.25/143,860
  6. Step 6: Final answer
    x = 323,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.