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Finding the Third Proportional to 264,864 and 340,087.50

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Solution

The third proportional to 264,864 and 340,087.50 is: 436,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864 : 340,087.50 = 340,087.50 : x
  2. Step 2: Convert to fraction form
    264,864/340,087.50 = 340,087.50/x
  3. Step 3: Cross multiply
    264,864x = 340,087.50 × 340,087.50
  4. Step 4: Simplify right side
    264,864x = 115,659,507,656.25
  5. Step 5: Solve for x
    x = 115,659,507,656.25/264,864
  6. Step 6: Final answer
    x = 436,675.08

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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.