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Finding the Third Proportional to 122,725.13 and 256,623.19

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Solution

The third proportional to 122,725.13 and 256,623.19 is: 536,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,725.13 : 256,623.19 = 256,623.19 : x
  2. Step 2: Convert to fraction form
    122,725.13/256,623.19 = 256,623.19/x
  3. Step 3: Cross multiply
    122,725.13x = 256,623.19 × 256,623.19
  4. Step 4: Simplify right side
    122,725.13x = 65,855,460,362.66
  5. Step 5: Solve for x
    x = 65,855,460,362.66/122,725.13
  6. Step 6: Final answer
    x = 536,609.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.