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Finding the Third Proportional to 188,853 and 386,431.50

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Solution

The third proportional to 188,853 and 386,431.50 is: 790,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,853 : 386,431.50 = 386,431.50 : x
  2. Step 2: Convert to fraction form
    188,853/386,431.50 = 386,431.50/x
  3. Step 3: Cross multiply
    188,853x = 386,431.50 × 386,431.50
  4. Step 4: Simplify right side
    188,853x = 149,329,304,192.25
  5. Step 5: Solve for x
    x = 149,329,304,192.25/188,853
  6. Step 6: Final answer
    x = 790,717.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.