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Finding the Third Proportional to 259,733.25 and 414,931.50

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Solution

The third proportional to 259,733.25 and 414,931.50 is: 662,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,733.25 : 414,931.50 = 414,931.50 : x
  2. Step 2: Convert to fraction form
    259,733.25/414,931.50 = 414,931.50/x
  3. Step 3: Cross multiply
    259,733.25x = 414,931.50 × 414,931.50
  4. Step 4: Simplify right side
    259,733.25x = 172,168,149,692.25
  5. Step 5: Solve for x
    x = 172,168,149,692.25/259,733.25
  6. Step 6: Final answer
    x = 662,865.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.