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Finding the Third Proportional to 132,225.75 and 290,692.13

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Solution

The third proportional to 132,225.75 and 290,692.13 is: 639,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,225.75 : 290,692.13 = 290,692.13 : x
  2. Step 2: Convert to fraction form
    132,225.75/290,692.13 = 290,692.13/x
  3. Step 3: Cross multiply
    132,225.75x = 290,692.13 × 290,692.13
  4. Step 4: Simplify right side
    132,225.75x = 84,501,911,537.02
  5. Step 5: Solve for x
    x = 84,501,911,537.02/132,225.75
  6. Step 6: Final answer
    x = 639,073.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.