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Finding the Third Proportional to 264,902.63 and 340,140.38

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Solution

The third proportional to 264,902.63 and 340,140.38 is: 436,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.63 : 340,140.38 = 340,140.38 : x
  2. Step 2: Convert to fraction form
    264,902.63/340,140.38 = 340,140.38/x
  3. Step 3: Cross multiply
    264,902.63x = 340,140.38 × 340,140.38
  4. Step 4: Simplify right side
    264,902.63x = 115,695,474,705.14
  5. Step 5: Solve for x
    x = 115,695,474,705.14/264,902.63
  6. Step 6: Final answer
    x = 436,747.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.