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Finding the Third Proportional to 158,429.50 and 341,743.75

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Solution

The third proportional to 158,429.50 and 341,743.75 is: 737,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,429.50 : 341,743.75 = 341,743.75 : x
  2. Step 2: Convert to fraction form
    158,429.50/341,743.75 = 341,743.75/x
  3. Step 3: Cross multiply
    158,429.50x = 341,743.75 × 341,743.75
  4. Step 4: Simplify right side
    158,429.50x = 116,788,790,664.06
  5. Step 5: Solve for x
    x = 116,788,790,664.06/158,429.50
  6. Step 6: Final answer
    x = 737,165.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.