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Finding the Third Proportional to 188,959.08 and 411,131.32

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Solution

The third proportional to 188,959.08 and 411,131.32 is: 894,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,959.08 : 411,131.32 = 411,131.32 : x
  2. Step 2: Convert to fraction form
    188,959.08/411,131.32 = 411,131.32/x
  3. Step 3: Cross multiply
    188,959.08x = 411,131.32 × 411,131.32
  4. Step 4: Simplify right side
    188,959.08x = 169,028,962,541.90
  5. Step 5: Solve for x
    x = 169,028,962,541.90/188,959.08
  6. Step 6: Final answer
    x = 894,526.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.