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Finding the Third Proportional to 122,384.25 and 178,250.63

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Solution

The third proportional to 122,384.25 and 178,250.63 is: 259,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,384.25 : 178,250.63 = 178,250.63 : x
  2. Step 2: Convert to fraction form
    122,384.25/178,250.63 = 178,250.63/x
  3. Step 3: Cross multiply
    122,384.25x = 178,250.63 × 178,250.63
  4. Step 4: Simplify right side
    122,384.25x = 31,773,285,312.89
  5. Step 5: Solve for x
    x = 31,773,285,312.89/122,384.25
  6. Step 6: Final answer
    x = 259,619.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.