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Finding the Third Proportional to 116,715.75 and 256,291.50

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Solution

The third proportional to 116,715.75 and 256,291.50 is: 562,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,715.75 : 256,291.50 = 256,291.50 : x
  2. Step 2: Convert to fraction form
    116,715.75/256,291.50 = 256,291.50/x
  3. Step 3: Cross multiply
    116,715.75x = 256,291.50 × 256,291.50
  4. Step 4: Simplify right side
    116,715.75x = 65,685,332,972.25
  5. Step 5: Solve for x
    x = 65,685,332,972.25/116,715.75
  6. Step 6: Final answer
    x = 562,780.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.