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Finding the Third Proportional to 174,951.56 and 367,529.06

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Solution

The third proportional to 174,951.56 and 367,529.06 is: 772,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,951.56 : 367,529.06 = 367,529.06 : x
  2. Step 2: Convert to fraction form
    174,951.56/367,529.06 = 367,529.06/x
  3. Step 3: Cross multiply
    174,951.56x = 367,529.06 × 367,529.06
  4. Step 4: Simplify right side
    174,951.56x = 135,077,611,782.13
  5. Step 5: Solve for x
    x = 135,077,611,782.13/174,951.56
  6. Step 6: Final answer
    x = 772,085.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.