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Finding the Third Proportional to 159,310.69 and 256,393.13

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Solution

The third proportional to 159,310.69 and 256,393.13 is: 412,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,310.69 : 256,393.13 = 256,393.13 : x
  2. Step 2: Convert to fraction form
    159,310.69/256,393.13 = 256,393.13/x
  3. Step 3: Cross multiply
    159,310.69x = 256,393.13 × 256,393.13
  4. Step 4: Simplify right side
    159,310.69x = 65,737,434,547.27
  5. Step 5: Solve for x
    x = 65,737,434,547.27/159,310.69
  6. Step 6: Final answer
    x = 412,636.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.