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Finding the Third Proportional to 180,398.63 and 389,704.13

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Solution

The third proportional to 180,398.63 and 389,704.13 is: 841,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,398.63 : 389,704.13 = 389,704.13 : x
  2. Step 2: Convert to fraction form
    180,398.63/389,704.13 = 389,704.13/x
  3. Step 3: Cross multiply
    180,398.63x = 389,704.13 × 389,704.13
  4. Step 4: Simplify right side
    180,398.63x = 151,869,305,042.02
  5. Step 5: Solve for x
    x = 151,869,305,042.02/180,398.63
  6. Step 6: Final answer
    x = 841,854.01

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