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Finding the Third Proportional to 119,313 and 256,911.75

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Solution

The third proportional to 119,313 and 256,911.75 is: 553,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,313 : 256,911.75 = 256,911.75 : x
  2. Step 2: Convert to fraction form
    119,313/256,911.75 = 256,911.75/x
  3. Step 3: Cross multiply
    119,313x = 256,911.75 × 256,911.75
  4. Step 4: Simplify right side
    119,313x = 66,003,647,288.06
  5. Step 5: Solve for x
    x = 66,003,647,288.06/119,313
  6. Step 6: Final answer
    x = 553,197.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.