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Finding the Third Proportional to 155,722.50 and 204,476.91

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Solution

The third proportional to 155,722.50 and 204,476.91 is: 268,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,722.50 : 204,476.91 = 204,476.91 : x
  2. Step 2: Convert to fraction form
    155,722.50/204,476.91 = 204,476.91/x
  3. Step 3: Cross multiply
    155,722.50x = 204,476.91 × 204,476.91
  4. Step 4: Simplify right side
    155,722.50x = 41,810,805,189.57
  5. Step 5: Solve for x
    x = 41,810,805,189.57/155,722.50
  6. Step 6: Final answer
    x = 268,495.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.