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Finding the Third Proportional to 264,816 and 340,018.50

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Solution

The third proportional to 264,816 and 340,018.50 is: 436,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816 : 340,018.50 = 340,018.50 : x
  2. Step 2: Convert to fraction form
    264,816/340,018.50 = 340,018.50/x
  3. Step 3: Cross multiply
    264,816x = 340,018.50 × 340,018.50
  4. Step 4: Simplify right side
    264,816x = 115,612,580,342.25
  5. Step 5: Solve for x
    x = 115,612,580,342.25/264,816
  6. Step 6: Final answer
    x = 436,577.02

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