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Finding the Third Proportional to 152,692.50 and 327,957

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Solution

The third proportional to 152,692.50 and 327,957 is: 704,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,692.50 : 327,957 = 327,957 : x
  2. Step 2: Convert to fraction form
    152,692.50/327,957 = 327,957/x
  3. Step 3: Cross multiply
    152,692.50x = 327,957 × 327,957
  4. Step 4: Simplify right side
    152,692.50x = 107,555,793,849
  5. Step 5: Solve for x
    x = 107,555,793,849/152,692.50
  6. Step 6: Final answer
    x = 704,394.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.