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Finding the Third Proportional to 183,683.63 and 398,020.13

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Solution

The third proportional to 183,683.63 and 398,020.13 is: 862,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,683.63 : 398,020.13 = 398,020.13 : x
  2. Step 2: Convert to fraction form
    183,683.63/398,020.13 = 398,020.13/x
  3. Step 3: Cross multiply
    183,683.63x = 398,020.13 × 398,020.13
  4. Step 4: Simplify right side
    183,683.63x = 158,420,019,905.02
  5. Step 5: Solve for x
    x = 158,420,019,905.02/183,683.63
  6. Step 6: Final answer
    x = 862,461.31

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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.