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Finding the Third Proportional to 122,654.25 and 273,152.25

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Solution

The third proportional to 122,654.25 and 273,152.25 is: 608,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,654.25 : 273,152.25 = 273,152.25 : x
  2. Step 2: Convert to fraction form
    122,654.25/273,152.25 = 273,152.25/x
  3. Step 3: Cross multiply
    122,654.25x = 273,152.25 × 273,152.25
  4. Step 4: Simplify right side
    122,654.25x = 74,612,151,680.06
  5. Step 5: Solve for x
    x = 74,612,151,680.06/122,654.25
  6. Step 6: Final answer
    x = 608,312.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.