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Finding the Third Proportional to 160,429.75 and 341,505.50

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Solution

The third proportional to 160,429.75 and 341,505.50 is: 726,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,429.75 : 341,505.50 = 341,505.50 : x
  2. Step 2: Convert to fraction form
    160,429.75/341,505.50 = 341,505.50/x
  3. Step 3: Cross multiply
    160,429.75x = 341,505.50 × 341,505.50
  4. Step 4: Simplify right side
    160,429.75x = 116,626,006,530.25
  5. Step 5: Solve for x
    x = 116,626,006,530.25/160,429.75
  6. Step 6: Final answer
    x = 726,959.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.