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Finding the Third Proportional to 122,678.50 and 264,691.50

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Solution

The third proportional to 122,678.50 and 264,691.50 is: 571,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,678.50 : 264,691.50 = 264,691.50 : x
  2. Step 2: Convert to fraction form
    122,678.50/264,691.50 = 264,691.50/x
  3. Step 3: Cross multiply
    122,678.50x = 264,691.50 × 264,691.50
  4. Step 4: Simplify right side
    122,678.50x = 70,061,590,172.25
  5. Step 5: Solve for x
    x = 70,061,590,172.25/122,678.50
  6. Step 6: Final answer
    x = 571,099.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.