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Finding the Third Proportional to 233,006.63 and 341,863.03

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Solution

The third proportional to 233,006.63 and 341,863.03 is: 501,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,006.63 : 341,863.03 = 341,863.03 : x
  2. Step 2: Convert to fraction form
    233,006.63/341,863.03 = 341,863.03/x
  3. Step 3: Cross multiply
    233,006.63x = 341,863.03 × 341,863.03
  4. Step 4: Simplify right side
    233,006.63x = 116,870,332,135.44
  5. Step 5: Solve for x
    x = 116,870,332,135.44/233,006.63
  6. Step 6: Final answer
    x = 501,575.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.