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Finding the Third Proportional to 116,952.75 and 256,279.13

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Solution

The third proportional to 116,952.75 and 256,279.13 is: 561,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952.75 : 256,279.13 = 256,279.13 : x
  2. Step 2: Convert to fraction form
    116,952.75/256,279.13 = 256,279.13/x
  3. Step 3: Cross multiply
    116,952.75x = 256,279.13 × 256,279.13
  4. Step 4: Simplify right side
    116,952.75x = 65,678,989,910.77
  5. Step 5: Solve for x
    x = 65,678,989,910.77/116,952.75
  6. Step 6: Final answer
    x = 561,585.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.