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Finding the Third Proportional to 161,146.69 and 341,502.75

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Solution

The third proportional to 161,146.69 and 341,502.75 is: 723,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,146.69 : 341,502.75 = 341,502.75 : x
  2. Step 2: Convert to fraction form
    161,146.69/341,502.75 = 341,502.75/x
  3. Step 3: Cross multiply
    161,146.69x = 341,502.75 × 341,502.75
  4. Step 4: Simplify right side
    161,146.69x = 116,624,128,257.56
  5. Step 5: Solve for x
    x = 116,624,128,257.56/161,146.69
  6. Step 6: Final answer
    x = 723,714.09

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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.