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Finding the Third Proportional to 180,046.13 and 388,005

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Solution

The third proportional to 180,046.13 and 388,005 is: 836,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,046.13 : 388,005 = 388,005 : x
  2. Step 2: Convert to fraction form
    180,046.13/388,005 = 388,005/x
  3. Step 3: Cross multiply
    180,046.13x = 388,005 × 388,005
  4. Step 4: Simplify right side
    180,046.13x = 150,547,880,025
  5. Step 5: Solve for x
    x = 150,547,880,025/180,046.13
  6. Step 6: Final answer
    x = 836,162.84

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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.