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Finding the Third Proportional to 114,263.16 and 264,482.72

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Solution

The third proportional to 114,263.16 and 264,482.72 is: 612,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,263.16 : 264,482.72 = 264,482.72 : x
  2. Step 2: Convert to fraction form
    114,263.16/264,482.72 = 264,482.72/x
  3. Step 3: Cross multiply
    114,263.16x = 264,482.72 × 264,482.72
  4. Step 4: Simplify right side
    114,263.16x = 69,951,108,517.39
  5. Step 5: Solve for x
    x = 69,951,108,517.39/114,263.16
  6. Step 6: Final answer
    x = 612,193.04

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.