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Finding the Third Proportional to 188,026.31 and 411,580.13

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Solution

The third proportional to 188,026.31 and 411,580.13 is: 900,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,026.31 : 411,580.13 = 411,580.13 : x
  2. Step 2: Convert to fraction form
    188,026.31/411,580.13 = 411,580.13/x
  3. Step 3: Cross multiply
    188,026.31x = 411,580.13 × 411,580.13
  4. Step 4: Simplify right side
    188,026.31x = 169,398,199,295.02
  5. Step 5: Solve for x
    x = 169,398,199,295.02/188,026.31
  6. Step 6: Final answer
    x = 900,928.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.