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Finding the Third Proportional to 173,034.56 and 261,857.81

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Solution

The third proportional to 173,034.56 and 261,857.81 is: 396,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,034.56 : 261,857.81 = 261,857.81 : x
  2. Step 2: Convert to fraction form
    173,034.56/261,857.81 = 261,857.81/x
  3. Step 3: Cross multiply
    173,034.56x = 261,857.81 × 261,857.81
  4. Step 4: Simplify right side
    173,034.56x = 68,569,513,967.29
  5. Step 5: Solve for x
    x = 68,569,513,967.29/173,034.56
  6. Step 6: Final answer
    x = 396,276.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.