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Finding the Third Proportional to 119,692.50 and 259,332

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Solution

The third proportional to 119,692.50 and 259,332 is: 561,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,692.50 : 259,332 = 259,332 : x
  2. Step 2: Convert to fraction form
    119,692.50/259,332 = 259,332/x
  3. Step 3: Cross multiply
    119,692.50x = 259,332 × 259,332
  4. Step 4: Simplify right side
    119,692.50x = 67,253,086,224
  5. Step 5: Solve for x
    x = 67,253,086,224/119,692.50
  6. Step 6: Final answer
    x = 561,882.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.