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Finding the Third Proportional to 264,854.81 and 340,066.69

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Solution

The third proportional to 264,854.81 and 340,066.69 is: 436,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,854.81 : 340,066.69 = 340,066.69 : x
  2. Step 2: Convert to fraction form
    264,854.81/340,066.69 = 340,066.69/x
  3. Step 3: Cross multiply
    264,854.81x = 340,066.69 × 340,066.69
  4. Step 4: Simplify right side
    264,854.81x = 115,645,351,947.22
  5. Step 5: Solve for x
    x = 115,645,351,947.22/264,854.81
  6. Step 6: Final answer
    x = 436,636.78

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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.