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Finding the Third Proportional to 171,491.06 and 254,750.06

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Solution

The third proportional to 171,491.06 and 254,750.06 is: 378,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,491.06 : 254,750.06 = 254,750.06 : x
  2. Step 2: Convert to fraction form
    171,491.06/254,750.06 = 254,750.06/x
  3. Step 3: Cross multiply
    171,491.06x = 254,750.06 × 254,750.06
  4. Step 4: Simplify right side
    171,491.06x = 64,897,594,343.75
  5. Step 5: Solve for x
    x = 64,897,594,343.75/171,491.06
  6. Step 6: Final answer
    x = 378,431.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.