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Finding the Third Proportional to 180,381.94 and 389,650.50

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Solution

The third proportional to 180,381.94 and 389,650.50 is: 841,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,381.94 : 389,650.50 = 389,650.50 : x
  2. Step 2: Convert to fraction form
    180,381.94/389,650.50 = 389,650.50/x
  3. Step 3: Cross multiply
    180,381.94x = 389,650.50 × 389,650.50
  4. Step 4: Simplify right side
    180,381.94x = 151,827,512,150.25
  5. Step 5: Solve for x
    x = 151,827,512,150.25/180,381.94
  6. Step 6: Final answer
    x = 841,700.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.