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Finding the Third Proportional to 180,057.94 and 386,804.25

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Solution

The third proportional to 180,057.94 and 386,804.25 is: 830,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,057.94 : 386,804.25 = 386,804.25 : x
  2. Step 2: Convert to fraction form
    180,057.94/386,804.25 = 386,804.25/x
  3. Step 3: Cross multiply
    180,057.94x = 386,804.25 × 386,804.25
  4. Step 4: Simplify right side
    180,057.94x = 149,617,527,818.06
  5. Step 5: Solve for x
    x = 149,617,527,818.06/180,057.94
  6. Step 6: Final answer
    x = 830,941.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.