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Finding the Third Proportional to 125,302.75 and 295,692.50

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Solution

The third proportional to 125,302.75 and 295,692.50 is: 697,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,302.75 : 295,692.50 = 295,692.50 : x
  2. Step 2: Convert to fraction form
    125,302.75/295,692.50 = 295,692.50/x
  3. Step 3: Cross multiply
    125,302.75x = 295,692.50 × 295,692.50
  4. Step 4: Simplify right side
    125,302.75x = 87,434,054,556.25
  5. Step 5: Solve for x
    x = 87,434,054,556.25/125,302.75
  6. Step 6: Final answer
    x = 697,782.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.