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Finding the Third Proportional to 113,278.50 and 264,566.25

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Solution

The third proportional to 113,278.50 and 264,566.25 is: 617,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,278.50 : 264,566.25 = 264,566.25 : x
  2. Step 2: Convert to fraction form
    113,278.50/264,566.25 = 264,566.25/x
  3. Step 3: Cross multiply
    113,278.50x = 264,566.25 × 264,566.25
  4. Step 4: Simplify right side
    113,278.50x = 69,995,300,639.06
  5. Step 5: Solve for x
    x = 69,995,300,639.06/113,278.50
  6. Step 6: Final answer
    x = 617,904.55

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.