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Finding the Third Proportional to 264,906 and 340,155

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Solution

The third proportional to 264,906 and 340,155 is: 436,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906 : 340,155 = 340,155 : x
  2. Step 2: Convert to fraction form
    264,906/340,155 = 340,155/x
  3. Step 3: Cross multiply
    264,906x = 340,155 × 340,155
  4. Step 4: Simplify right side
    264,906x = 115,705,424,025
  5. Step 5: Solve for x
    x = 115,705,424,025/264,906
  6. Step 6: Final answer
    x = 436,779.17

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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.