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Finding the Third Proportional to 161,146.31 and 341,502.19

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Solution

The third proportional to 161,146.31 and 341,502.19 is: 723,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,146.31 : 341,502.19 = 341,502.19 : x
  2. Step 2: Convert to fraction form
    161,146.31/341,502.19 = 341,502.19/x
  3. Step 3: Cross multiply
    161,146.31x = 341,502.19 × 341,502.19
  4. Step 4: Simplify right side
    161,146.31x = 116,623,744,067.29
  5. Step 5: Solve for x
    x = 116,623,744,067.29/161,146.31
  6. Step 6: Final answer
    x = 723,713.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.