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Finding the Third Proportional to 214,265.25 and 409,090.50

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Solution

The third proportional to 214,265.25 and 409,090.50 is: 781,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,265.25 : 409,090.50 = 409,090.50 : x
  2. Step 2: Convert to fraction form
    214,265.25/409,090.50 = 409,090.50/x
  3. Step 3: Cross multiply
    214,265.25x = 409,090.50 × 409,090.50
  4. Step 4: Simplify right side
    214,265.25x = 167,355,037,190.25
  5. Step 5: Solve for x
    x = 167,355,037,190.25/214,265.25
  6. Step 6: Final answer
    x = 781,064.77

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.